The four-time African Footballer of the Year became the highest-paid player in the world when he moved to Anzhi in 2011, but has taken a £10m paycut in his annual salary, from £17m to £7m, to join the Stamford Bridge club.
Speaking at the launch of the first of nine graphic novels about his life, Eto'o said he was looking forward to working with Mourinho again, even if they had several run-ins during their time at Inter.
"I remember a game when we were fighting and we said some terrible things to each other," Eto'o said. "We both regretted it afterwards. But I like him because he talks through problems, he handles things like a man. Those are qualities I like. Every time I have the chance to work with him, I will seize the opportunity."
Eto'o went on to say that it was the Chelsea manager's straight-talking that set him apart.
Eto'o will be selected - Mourinho
"Jose is more than a coach to me. He is a man who talks the language of truth," he said.
"It is really important to have someone who tells the truth all the time. In our business sometimes we have people who don't."
The Cameroon striker claimed he had not expected to leave Russia this summer, despite the club's billionaire owner Suleyman Kerimov selling off his biggest earners to
significantly reduce the club's budget.
Eto'o said it was a phone call from Mourinho that changed his plans.
"I was feeling good in Russia, but then I got the phone call from Jose Mourinho asking me to come here," he said. "I thought it was another exciting chapter for me and I am really glad to be here. Chelsea is a fantastic club."
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