The on-loan Manchester City striker has struck twice in his first three games for Real.
"I'm very happy for scoring two goals," Adebayor told a press conference in Madrid. "I will work hard every day to help win our games.
"It is very easy to work with Mourinho. He is an excellent person and he enhances my game.
"He has his own way of dealing with people. He tells you what he expects you to do."
He added: "I want to thank my team-mates for helping me adapt so easily to this league championship. Granero, Ramos, Ronaldo, Pepe, Marcelo... They all speak English, so they understand me and I understand them. I am very happy to be here."