The 22-year-old has looked on the brink at the Bernaebu.
Santiago Solari’s promotion to the Real hot seat saw his game-time become increasingly limited.
But in recent weeks the forward has upped the ante and appears to have won Solari round.
Asensio’s agent - Horacio Gaggioli - says being linked with the Serie A side in an ‘honour’ - but his client is going nowhere.
"It's an honour if a club like Inter are interested in Marco," he told FCInternews.
"I don't know if it's true, but for now the player has no intention of leaving Madrid.