I was reading this again and something I forgot to say to the OP...
I don't know if you've ever seen a colony of wild Quaker Parrots (they live all over the US in very large colonies, the largest colonies being in New York, New Jersey, in the New England states, and then down in Florida and surrounding southern states), but if you've never seen a "Quaker colony", I suggest that you do a Google search for "Quaker colony nests" and take a look at just how busy they are naturally and what they do all day long...They live in huge colonies of hundreds of birds, but where they differ from other wild parrots is that they don't build "nests", they build rows and rows of interconnected Town-Houses!!! Quaker homes look like little condominiums all connected together, and this is also why they are considered an "Invasive Species" and were made illegal in a lot of states when they first started appearing in colonies back in the 1960's (originally due to large shipments of Quaker parrots going to pet shops getting loose at airports, specifically at JFK in NYC)...Since then most states have over-turned their laws against owning pet Quakers, as they are actually more "urban" parrots and most large colonies live in cities and build their colony town-houses up in the power-lines, phone-lines, etc. But the point is that Quaker Parrots in the wild are extremely busy birds, working hours and hours a day on building and maintaining their colony houses...
Now all wild parrots, regardless of their species or where they are from naturally, spend most of their day, every single day, foraging for enough food to meet their daily nutritional needs...They all fly between 8-10 miles every single day in the wild to find enough food for the day to meet their needs...In captivity, pet parrots have a huge bowl of nutrient-dense food 3 steps away from them all day long, every day...And with the brain of a 3-4 year-old human toddler, pet birds obviously become extremely bored very quickly.
***So it's our job as their owners to actually provide them with two things that every pet parrot needs in order to be psychologically/mentally healthy and happy, thus physically happy: #1 A "Flock" for them to be a part of, and #2 a "Job" for them to do every single day to keep them occupied and from becoming bored[B/]...and with boredom comes them being very "Destructive"...So, the reason your Quaker ALWAYS wants to be on you/with you when you're at home is because you're his only "Flock", and just having him always be in the same room with you when you're at home is half the battle, so that he can always feel like he's with "his flock"...It's one thing if you're busy doing something that could be dangerous for him to be around, like cleaning or building/fixing something in your home, etc. But activities like playing video games are actually perfect times for you to spend time with your bird, meaning that you're in the same room with your bird and he does not have to be locked inside of his cage...The only piece of the puzzle you're missing is a "Job" for him to do while you're doing what you like to do and you're keeping busy...He must also have a "job" to do or something to do that will keep him busy and keep his brain working, so that he won't want to be destructive and chew on your Playstation controllers...And trust me, I know, they love the rubber knobs on Playstation controllers...
***Something that I noticed about my Quaker Parrot when I first brought her home as an 10 week-old baby was that her beak is constantly going, all the time, all day long...So Quakers are usually habitual "chewers" and "shredders"...So the best type of "Job" that you can give them to do is something that involves chewing and shredding. And this kind of "job" will also keep him from chewing apart your belongings, lol...So something that I've been suggesting at least trying because it has worked wonders for my own Quaker and that she absolutely LOVES to do is to work for hours at a time on "Shredders"..."Shredders" are available at any Petco, and a package of 30 feet of it costs only $4.99! So it's definitely worth trying, if your Quaker doesn't like it then you're only out $5...and chances are that he'll love it and it will keep him occupied for hours and hours...It's basically just 30 feet of digestible paper that is very thick and braided/woven together into a long streamer. It's extremely tough because it's woven/braided and difficult for them to chew apart. And all you do is take it and wrap their cage up in, weaving it in and out of the bars, all around their cage, twisting it around the bars of the cage, etc. Or you can wrap it around their play-stands, etc. I wrap up their cages in it, weaving it all throughout the cage bars all over the cage, and then I just leave their cage door open...And they spend hours working from both inside and on top of their cages, trying to get it unwrapped and off of their cages...And my Quaker literally attacks it every time I wrap her cage in a new package of it...She goes at that stuff like she's on a mission, and as long as she's in the same room as me when she's doing it, she's in heaven...So I suggest picking up a package of Shredders at your local Petco or order it online from Amazon or elsewhere, and give it a shot...It may just solve your problem and make your Quaker a much happier, healthier bird.