Wenger spoke after watching his side blow a two-goal lead in the 2-2 against Boca Juniors in the Emirates Cup on Saturday.
He said: "If Fabregas is committed to this club and wants to stay, no money will get him out of here.
"We are not in a position where we need to sell our players. We are not looking after money.
"He cares about this club and that's why I hope he can keep him."