Vaz Te released a statement to Sky Sports prior to the close of the summer transfer window confirming that he had handed in a transfer request.
Cardiff City, Crystal Palace and Norwich City were all said to be keen on offering the Portuguese winger a route out of Upton Park, but no agreement was reached.
Vaz Te must now re-focus and try to force his way back into Sam Allardyce's plans, and Nolan says the 26-year-old will remain an important member of the squad.
He told the club's official website: "Obviously we had the Ricardo Vaz Te incident last week, but hopefully now he can just knuckle down and fight for his place and really it's about us making sure he knows he is still wanted here.
"At the end of the day, we're a tight-knit group and we were surprised by it, but that's football and that's life.
"Hopefully now we can put it all to bed and he can get back amongst the lads because we're all waiting with open arms.
"We're all looking to put it behind us and for him to show he wants to be a part of this fantastic football club, which I'm sure he does.
"Generally he just wants to play football and hopefully now he'll get the chance. It's up to him to prove everyone wrong.
"We've got a fairly settled squad and we might have another familiar face coming in (Carlton Cole), so we'll see how that turns out."