West Ham host the Gunners at London Stadium on Wednesday, where a hamstring problem for Aaron Ramsey could mean Wilshere making his first Premier League start of the season.
The England international has been ravaged by injury over recent years and spent a largely uneventful spell on loan at Bournemouth last season.
“You’d hope that if you took a player from another Premier League club it’d be much easier for him to go right into the team and play well,” said Moyes.
“Jack Wilshere would be someone who we’d have to look at if he was available.
“I do believe the transfer window could be the difference between relegation and staying up. If we can get the right players, that’s the big part of it.”