Inter are only two points behind leaders Napoli after 12 unbeaten games, winning nine and drawing three, with Skriniar forming an impressive central defensive partnership with Miranda.
"I am not interested in Barcelona," he told Mediaset Premium. "I play for Inter and my objective is to play for Inter. I want to get them to win.
"I am very happy with my season so far and must continue like this."
While many players have one eye on the World Cup next year, Skriniar's Slovakia failed to qualify – finishing as the lowest ranked runner-up – so he is solely focused on leading Inter in the Scudetto challenge.
He added: "We have to forget what happened on international duty and focus only on our club.
"The objective is the Champions League. We want to be high in the table and think match by match. It's difficult to talk about the Scudetto at the moment, there are still a lot of games left."