The newly-signed Colombian has revealed his desire to win trophies at Stade Louis II and is delighted to be playing alongside former Porto team-mate Radamel Falcao
Rodriguez, 21, who recently moved to the Principality along with Porto team-mate Joao Moutinho for a fee believed to be in the region of €60 million (£51m), is preparing for Colombia's encounter with Argentina in a World Cup qualifier on Friday.
But looking ahead to next season, he is already focused on being successful.
He told reporters: "When you arrive at a new club, the goal is to win titles. I hope we will win titles."
Colombia are third in qualifying for Brazil 2014 and can close the gap on leaders Argentina to two points with a victory on Friday.
And Rodriguez is most looking forward to playing alongside international team-mate Falcao at the Stade Louis II, while the two also played together at Porto for two years before the striker moved to Atletico Madrid last summer.
"Playing with a friend is always good. I hope we will achieve great things with Monaco," Rodriguez added.
Falcao completed his €60m (£51m) move to Claudio Ranieri's side last Friday.