The Daily Mail says Zola has emerged as a contender for the position after talks between Forest and Neil Warnock fell through.
Warnock said: "It was the right club and I was excited about it. I met the chairman. But I don't think it was right for me at this moment in time."
Academy manager Gary Brazil will take charge of Forest tonight against Charlton Athletic.
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball