Puel is said to have had a training-ground row with certain members of his squad, while supporters also grew frustrated with the former Nice manager's choice of tactics.
Speaking four days on from being given the shove, Puel told Telefoot: "I remain positive. We had a very good year. I was able to discover different football - the fans, the players - it was really great.
"There can be misunderstandings. I think that my departure is for a little bit more than sporting reasons. The separation came a little late. I do not know at all [the next job] - there are few available.
"I need a good little project, to feel good and appreciated. I've had a lot of interest for a month, but I did not talk to anyone because I was under contract and I like to respect my contracts."