Skriniar has regularly stated his desire to stay at Inter, who he joined from Sampdoria a year ago.
And despite United reportedly being keen on the Slovakia international, Skriniar is not ready to leave San Siro.
"It's nice to know that you are appreciated by other big clubs in Europe, but I've never thought to leave the club," Skriniar said to La Gazzetta dello Sport.
"The future depends on the club and I accept whatever they decide.
"My agent is in talks with the bosses at the club. It's not done yet, let's see what happens.
Inter secured qualification for the Champions League last term and Skriniar is excited by the chance to feature in Europe's top club competition.
"We are Inter and our target is always to win titles," Skriniar said. "We want to remain among the top Serie A clubs and do well in the Champions League.