Madrid could well be in the market for attacking reinforcements with Cristiano Ronaldo heavily linked with a sensational switch to Juventus, who responded to the rumours on Friday by releasing a statement revealing they are "evaluating several opportunities".
Senegal international Mane and Chelsea star Eden Hazard have been touted as potential targets for the La Liga giants should Ronaldo depart for Turin.
"These are just rumours. I am not aware of anything and haven't been contacted," he told reporters on a visit to his hometown of Bambali.
"I remain a Liverpool player and I will join my team-mates in the United States for the pre-season tour.
"Real are a great team, but I am focused on my team, Liverpool."
Mane scored once for Senegal at the World Cup in Russia as his nation suffered a group stage exit.
He has spent the past two seasons with Liverpool, netting 33 goals in all competitions.