The Argentine defender has been struggling to break into the first team in his first few months at the club, and is desperate for to feature for his new side
The 28-year-old has mainly been warming the bench for the Giuseppe Meazza side, and has made only three Serie A appearances for Inter up to date.
"It's never easy when you're playing on and off and I hope to get the chance to play a bit more regularly," Silvestre said at a press conference.
"I'm aware that I've joined a great team where there is a lot of competition for places.
"I've answered when I've been called upon and I try to make the most of every opportunity I get. I've always had a very open relationship with the coach and I'll give it everything I've got."
Inter are currently preparing for Thursday's Europa League match against Partizan, with Silvestre likely to feature from the start.