The 29-year-old completed a season-long loan move to Chelsea from Monaco last month and made his first appearance in a Blues shirt as a second-half substitute in their pre-season penalty shoot-out victory over Barcelona in the International Champions Cup last Wednesday.
Falcao spent a largely unsuccessful spell on loan at Manchester United last season, where he managed to score just four goals in 29 appearances, failing to earn himself a permanent deal at Old Trafford.
Ahead of his second season in England, the former Atletico Madrid and Porto frontman was given an extended summer break by Mourinho to recover fully from his exploits with Colombia at the Copa America.
He returned to score a penalty in the 4-2 shoot-out win over the European Champions in Washington and Mourinho insists he is satisfied with the effort of his new recruit.
“I’m very happy with his first week. I like him a lot as a player. The team play very well with a striker of his quality. He’s not just a guy that can score a goal, he can also contribute a lot to the quality of the game,” the Chelsea boss said.
“I was not expecting him to come here, play 20 minutes against Barcelona and score three goals.
“I was waiting for his determination to work, to help the team and to understand the way we play football. For the moment we are happy.”
Mourinho also hinted he could change his side’s formation this season to accommodate an extra forward, having regularly deployed Diego Costa up front on his own.
“In the last 20 minutes against Barcelona we played with Loic Remy and Falcao,” he added.
“They did very well not just to bring the team forward but also with one less player in midfield they closed the spaces in front of the midfield line. We can play with two.
“We were losing against Barcelona and I took Eden Hazard off because I was not worried about the result otherwise he would have played the whole game.
“Falcao came on and suddenly the team was direct and objective. They closed the lines and played in the opposition half. Falcao held the ball up very well.”