The central defender has been absent from the Premier League side's last five matches since injuring his calf during their Champions League game against Juventus on September 15.
Pellegrini was powerless to prevent Kompany from joining up with Belgium, but said he would not be able to play for his country until he had recovered to play a game for City.
Head coach Marc Wilmots stated the 29-year-old was in contention for the Euro 2016 qualification match with Israel on Tuesday if he continues to recover and Vertonghen hopes his team-mate will be able to participate.
"Vincent is here to train," Vertonghen told Sky Sports.
"He trains outside as well and I spoke to him and he feels good. I don't know who will make the decision, maybe himself or the manager. I hope he will play because he is a very important player for us."