The USA national team captain joined the reigning Scottish Premier League champions from French club Saint-Etienne in the summer and is looking forward to having a prosperous career at Ibrox.
Bocanegra admits the lure of playing in the Champions League helped pave the way for his move to Glasgow and he hopes that 'Gers can bounce back to Europe's premier club competition next season with a successful domestic performance this term.
"I'm really excited because I never had a chance in my career to be able to win something in Europe," he told Sporting News.
"Now we have a chance to win the league. If we win the league, then we qualify for the Champions League next year, which I've never played in. Obviously that's a competition you dream about.
"I watch it every Tuesday and Wednesday night. The Heineken signs come out. The music comes on. That would be awesome. For me, that's a dream."