PSG are seeking a fifth successive Ligue 1 title, with Montpellier the last team to land France's top domestic prize previously, but they are off the pace at present with 19 points, four behind leaders Nice.
Monaco are level on points with the defending champions and Raggi, 32, is convinced his side can challenge for honours this season.
He told Le10 Sport: "Monaco have become a strong team with a perfect mix between the old and the young.
"Our ambitions? We want to reach the highest in all competitions. National cups and the championship.
"Every year we play for the podium. Maybe this year it's good."