The Austrian has completed his transfer from Bayern Munich on a free transfer after the expiry of his contract.
He spoke during a news conference and the topic of French defender Varane, who is wanted by Manchester United, came up.
Alaba said he would love for Varane to stay at Real this season and beyond.
"Of course I would love to play with Varane," Alaba said on Wednesday, per Goal.com.
"For many years he has played excellent football and not just now. He is a wonderful defender and has great qualities."
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