The manager has recently been named as a potential replacement for Arsene Wenger at Arsenal.
Inter are currently sitting fifth in the table with eight games of the season remaining after an indifferent campaign.
They are not likely to finish in a Champions League place, with the top three only making it into Europe’s top tier competition, and Juventus, Napoli and Roma currently favourites for those places.
There had been suggestions Roberto Mancini may be set to leave as a result, with Corriere dello Sport even claiming he could replace Arsene Wenger at Arsenal should the Frenchman leave.
Zanetti though, has rubbished those claims, saying that the club is committed to Mancini, and he is equally committed to them.
“The club is clearly committed to him and even Roberto is keen to remain with us,” Gazzetta dello Sport reports him saying.
“Right now we are focused on the end of our season as it will be very challenging, but I think we will be able to press forward.”
Even if Wenger were to leave Arsenal at the end of this season, it is unlikely that Mancini would be the man to replace him.
He may have won the title at Manchester City but the manner in which that reign came to an end would surely be something that would deter the Arsenal board.
Similarly, they may be keen to hire a more top tier replacement should Wenger leave, with many having suggested Atletico Madrid manager Diego Simeone as an ideal option.