"Cristian is a big player, an amazing guy [who] has been a great captain in my time even though he didn't play.
We talk on the phone and, when he is here, every morning he comes to my office," said De Zerbi.
The center-back signed an extension in August that ties him to the North London club until 2029.
However, following a failed transfer to Atlético Madrid last year, reports from telegraph. co.
uk indicate Romero is drawing interest from Barcelona and eyeing a move to Spain.
When questioned about Romero's long-term future at the club beyond the current season, De Zerbi declined to give a definitive answer before the final match of the campaign concludes.
"It's a good question but it is the wrong timing. The most important is how much the player wants to stay in this club.
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We are going to take all the decisions after the Everton game," said De Zerbi.