The Hammers have faced a number of off-field and on-field problems since shifting their home from Upton Park to the former Olympic Stadium, and they currently sit in the relegation zone with just three points.
Wright thinks that most of the on-pitch issues can be attributed to a less-than-desirable transfer window.
The former Hammers striker wrote in his column for The Sun: “We all know moving house can be stressful – but West Ham are taking it to new levels.
“They're also proving that amidst the excitement and anticipation of switching to a new gaff, one thing can't be overlooked.
“Namely that all the thrills of settling into new surroundings don't mean much if you don't have the furniture to go with it.
“And right now at West Ham, still coming to terms with playing in the London Stadium, that's exactly what seems to have happened.
“After the heady delights of last season, it seems to me the board almost just expected things to continue this time around.
“Well it didn't take long for that to go crashing, did it? Problems with seating, problems with security, and problems where it matters most – on the pitch.
“And while there have been extenuating circumstances behind that last one to some extent, you could almost say it has been negligence in others.
“Yes, they spent £20 million on Andre Ayew, and were hugely unlucky when he was injured in the first game.
“And after such a brilliant time of it in the previous season, Aaron Cresswell has been a massive miss as well.
“But where was the real eye-opening signing in the summer? Where were the big names that could have made sure last year was just a platform to great things?
“Yes, they spent £53m, but nearly half was on Ayew and the rest was frees, loans, bits and bobs, here and there."