Speculation over the France international’s future has come into question of late with concerns over his position at the club.
Reports suggest Cristiano Ronaldo even believes Benzema needs to go so they can bring in fresh talent in the summer in order to take the club to new heights.
One target the Spanish giants have been linked with is Monaco sensation Kylian Mbappe.
His 19 goals in all competitions for the Ligue 1 outfit this season has attracted Zidane’s attention.
Florentino Perez is wants Karim Benzema to stay at Real Madrid
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A Mbappe-Benzema striker partnership? Anything is possible
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But they face a battle with Manchester United to secure his signature with the Red Devils already having two huge bids turned down.
Real will be confident they can pip Jose Mourinho’s side to a deal though and Perez has refused to rule out Mbappe linking up with Benzema in the future.
“A Mbappe-Benzema striker partnership? Anything is possible," said Perez.
"Benzema is the best player – and No. 9- in France, I can't say any more.
Kylian Mbappe is attracting interest from Real Madrid and Manchester United
Florentino Perez is a big fan of Karim Benzema
"I hope Benzema stays here for good.
"I only talk about Real Madrid players.
"But he [Mbappe] is very good, although right now the focus for Real Madrid is the Champions League and La Liga."
Mbappe is under contract with Monaco until 2019.