Rafa Benitez is currently occupying the role of interim manager at Stamford Bridge but with sections of the club's support unhappy with his employment, some reports have suggested that Zola, who spent seven seasons at Chelsea as a player, may soon be asked by owner Roman Abramovich to take over on a full-time basis.
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"To be honest I am more focused on what I have to do here," he told BBC Three Counties Radio.
"I know people have been writing things but my mind is completely on this job. I want to do well until the end here."
Zola also expressed his surprise at the recent decision of Pep Guardiola – who was also strongly rumoured to be targeted by the Chelsea hierarchy – to take over at Bundesliga giants Bayern Munich at the end of the season, but gave the Spaniard his backing.
"I was more willing to think Pep was going to England rather than Germany," the 46-year-old added.
"I don't know what the challenge will be like for Pep in Germany. I certainly wish him well.
"He's a great manager, a great man. He's got all my support."