It remains to be seen whether Monaco's leading lights will still be at Stade Louis II next season, with Jardim himself also linked with a move away, but the Portuguese was happy to reflect on a campaign of many positives on the continent.
He told beIN Sports: "On one side was a team with a lot of experience and the other a lot of youth.
"We are very happy to have been in this semi-final, I'm very proud of the players. We played today after we played on Saturday [against Nancy], and the players did their best.
"We could not have played for the draw. It is a result that makes us leave with our heads held high.
"We represented French football well. Now let's focus on the championship. Let's recover well, the players made a lot of effort here in Turin."
Gonzalo Higuain's first-leg double in Monaco badly hampered the Ligue 1 club's chances of progression, but Jardim praised his side's never-say-die attitude.
"Juventus had not conceded goals for several games, and the first leg was a bit of a blow to our ambitions, but today we played a good game with a lot of aggression," he added.
"We continued to play well, we wanted to score and we scored a goal.
"We've had a great Champions League [season], we are proud of the players, it was the first experience at this level of many of them."