Vazquez, 26, was a rotational player for Los Blancos last season, making a number of substitute appearances and a handful of starts.
And Spanish winger would likely see his role reduced in the team were they to sign a rival forward.
As Real Madrid continue to be linked with a move for Monaco star Kylian Mbappe, Vazquez’s role in the team continues to look uncertain going forwards.
And Spanish publication Don Balon claim Vazquez will tell the La Liga champions if they sign Mbappe this transfer window, he’ll push for a move away from the club.
He’s keen to fight for a place in Spain’s national side ahead of the World Cup in Russia next year.
And the attacker will struggle to do so if he’s fighting for minutes against Mbappe, who will be ahead of him in the pecking order.
Considering that Mbappe will likely cost in excess of £100m, Real will likely be forced to sell a player such as Alvaro Morata to free up funds.
The Spain striker has been linked with a move to Chelsea as they look to replace Diego Costa.
But so far no deal has been agreed between the clubs.