The 23-year-old has seen his profile rise throughout the 2017-18 campaign to now find himself registering on the transfer radars of leading clubs across Europe.
He told Pravda: “It’s the wish of me and the club.
“I don’t know about any particular offer, I have no reason to leave, and I don’t think Inter would sell me anyway.
“I also love the fact that we’ll play in the Champions League, I’m looking forward to it.”
Skriniar helped Inter to secure a fourth-place finish in Serie A this season, with final day drama enough to book them a return ticket to European football’s top table.
United and Madrid will both be gracing Champions League competition next season as well, with the Blancos preparing to chase down a fourth successive continental crown.
Movement is expected at Old Trafford and Santiago Bernabeu before those respective campaigns get underway, with Jose Mourinho in particular being linked with a host of potential defensive reinforcements.
Goal has revealed that the Red Devils are closing in on the €20 million (£18m/$23m) capture of Porto full-back Diogo Dalot, but it may be that their attention switches to the likes of Skriniar once the search for centre-half additions kicks in.