Redknapp is the bookies' favourite for the job.
And Zola told talkSPORT: "Harry is one of those managers that has the skills to do well everywhere.
Zola expressed his sympathy for Ancelotti, who was sacked after Sunday's final game of the season.
"I fell Ancelotti did a good job for Chelsea and, like many fans, we are sorry for what happened to him," said Zola of his fellow Italian, who has revealed he wants his next job to be in the Barclays Premier League and has been linked with promoted QPR.
"I think Ancelotti really likes London and he likes the way football is played over here.
"That doesn't surprise me because, after Italy, if you come here, you really enjoy the culture."