After finding regular game time hard to come by in the Spanish capital, the Colombia international opened himself up to a summer move.
Various landing spots were mooted for the talented playmaker, but Bayern were to emerge victorious in the clamour for his services as they put an initial two-year loan deal in place.
James initially struggled to produce his best in new surroundings, but he has fully settled now and is flourishing as confidence returns to his game.
“I'm very pleased with my first six months,” the 26-year-old told Sport1.
“We can go into the holidays with a good feeling after the last few weeks and we hope to be successful next year as well.”
They have also reached the last-16 of the Champions League, with the return of Jupp Heynckes as an interim successor to the ousted Carlo Ancelotti helping to breathe new life in the club.
The target now is to finish the campaign with another collection of silverware, with James confident that he has swapped one heavyweight outfit for another just as capable for challenging for the biggest prizes in football.
He added: “Bayern are like Real Madrid - a club at the highest level.
“They always want to win titles and are used to always having to win.
“Without question, Bayern are a top club. It's a new life for me, but I've settled well. I'm really happy here.”
It has already been suggested that James’ form in Germany could see him welcomed back into the Real fold at some stage, but he has played down such talk and appears fully focused on the present for now.