Having moved to Bayern Munich from Real Madrid, on a two-year loan deal, where was a bit-part player under Zinedine Zidane, Rodriguez rejoins former boss Carlo Ancelotti.
The striker, who was signed by the Italian when he was at Real, was named in a strong Bayern side in their pre-season tournament, the Telekom Cup on Saturday.
Rodriguez shined as the Bundesliga side beat Werder Bremen to lift the trophy.
Speaking after the game, the delighted 26-year-old former Porto and Monaco star said: “I am happy with that. I hope to get fit in the following days.
“That is what I want because I’ve been training here for just four days. But I am happy after what I did today. I feel good about it.
“We’ve just started our season. We will go to China for 10 days to get fit. This will be day to day and step by step.”
He added: “In Munich it’s a quiet life. I like this city so much. I hope to adapt soon to my new life.”