The game was Galtier's first competitive match in charge of PSG since taking over from Mauricio Pochettino in the summer.
A brace from Neymar, including a sumptuous free kick, Lionel Messi's tight finish and a Sergio Ramos backheeled goal were all PSG needed to win their ninth French Super Cup in the last ten seasons.
Galtier was impressed with the attitude shown by his players as PSG aim to right the wrongs of last season, when they were widely criticised for the manner of their Champions League elimination in the round of 16 to Real Madrid despite winning Ligue 1.
"We played a very serious match and I like the fact that we approached with great desire and determination," he told Amazon Prime Video.
"We created some good chances at the start of the match and they had one or two of their own.
"We were consistent and I saw players making a lot of effort; that's important to me. It's a great victory. It's good to bring the trophy back to Paris."
"I think PSG were criticised last season when they were champions," he added.
"These are players that I have observed a lot, with whom I discuss things. There must be a group dynamic, a team. What we have done over the past four or five weeks has gone very well.
"You have to be focused; the slightest word that derails goes around the world.
"We have frank, direct exchanges with the players. We talk a lot about world stars but they are above all players, who like to play, who want to win trophies. We must help them without compromise."
PSG begin their Ligue 1 campaign away at Clermont on Saturday.
