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 has taken in just one season at San Siro, having joined Inter from Sampdoria last summer, but is already sparking talk of another possible big-money move.
Potential landing spots in England and Spain have been mooted, but Skriniar is eager to avoid being dragged into a debate regarding his future as he has no desire to move on.
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.