The Frenchman is adamant the club enjoyed a successful season regardless of its failure to defend the European title.
The Allianz Arena side had set its sights on back-to-back trebles after a historic 2012-13 season, but saw its European ambitions come to an abrupt halt following the 5-0 aggregate loss against Madrid.
Nevertheless, Ribery has insisted Bayern's season should still be considered a success given that the team still managed to win four trophies.
"At the end of the day, it was a really good season. We won the Bundesliga title - and earlier than any other team at that," Ribery told the official Bundesliga website. "Then, after a convincing performance against Borussia Dortmund - our fiercest rivals in Germany - we lifted the DFB Cup.
"Let's not forget, we also beat Chelsea to win the Super Cup and we won the FIFA Club World Cup. That's four titles. In that sense, I'm really pleased with the season. We racked up some unbelievable results, stretched our unbeaten run to 53 matches and were unbeaten for the first 28 games of the season. We played attractive football, too."
Ribery will be looking to add to his trophy cabinet when Bayern meets Borussia Dortmund for the German Supercup next season.