Madrid started their Champions League title defence with a hard-fought 3-1 home win over Stuttgart on Tuesday.
Stuttgart looked the better side before Mbappé broke the deadlock early in the second half, scoring for a third straight game for Madrid.
I can do more, Mbappé said.
Mbappé, who signed a five-year contract with the Spanish giants this summer after leaving Paris Saint-Germain on a free transfer, had also scored in his team's 2-0 win away at Real Sociedad on Saturday.
The France captain has found the back of the net three times in five league games.
I know I'm going to do more, Mbappé said. Every game I feel better and now I'm scoring goals. I'm happy here.
Mbappé also celebrated Endrick scoring in his Champions League debut.
He scored his goal and got away from the players Mbappé said of the Brazil forward. He's very young. He's 18. He gets his playing time and he scores his goals.
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