The Gunners scored four times in 10 second-half minutes to claim a Barclays Premier League victory at the Emirates Stadium, extending the Hammers' winless run to five games.
"It was totally unacceptable for us with the standards we have set ourselves," Nolan said on www.whufc.co.uk.
"The gaffer wasn't happy and rightly so - so he asked for us to come in at 7am the next morning on the Thursday.
"There were no complaints from any of us - we all need a kick up the backside every now and then and we take it all on board.
"The gaffer and all of us wanted to put this result and what happened to bed straight away, and it was good that we came in early and got into looking at what went wrong together as a group."