The Rossoneri claimed a 3-1 win at San Siro on Saturday, with Pulisic opening the scoring before Adrien Rabiot and Diego Moreira added further goals. Alessandro Bastoni briefly brought Inter Milan back into the contest, but Milan held on for a fourth consecutive derby victory.
Pulisic, who scored AC Milan's early opener, described the result as an important reward for the work being done by the squad.
"It was an important night for us. We deserved this victory because we are working very hard," the forward told DAZN after the match.
The American also acknowledged the praise he had received from former Milan great Ricardo Kaká, who was present at San Siro for the derby.
"Kaká was a fantastic player. I thank him for his very kind words about me."
For Musah, the result was further evidence of what Milan can produce when they carry the intensity of a derby into their performances. The midfielder reflected on the difficult moments he has experienced during his development, but believes the victory can provide an important reference point.
He stressed that the motivation shown against Inter cannot be reserved for matches against their biggest rivals.
Musah also highlighted the value of playing alongside Luka Modrić, whose influence continues to impress him despite the midfielder being 41.
"Playing with Luka Modrić makes everything easier," Musah said. "For a 41-year-old, it is impressive. He has so much energy, he defends well and he reads the game intelligently. I try to learn from him."
The experience of sharing a dressing room and a midfield with Modrić has given Musah another opportunity to develop his own understanding of the game. He has spoken about learning from every match and every season, including the difficult periods that have tested him.
The derby victory also brought Milan's title ambitions into focus. Asked whether the Scudetto was a realistic target, Musah made clear that the club's expectations were not limited to simply competing.
"Yes, it is possible. We play to win, not just to play. We are at Milan, we all have the ambition to win and we give everything in every match to make that possible."
Pulisic's contribution provided the perfect start to a night that Milan ultimately controlled, while Musah's comments reflected the confidence growing within the squad after a significant result.
The challenge now is to turn that performance into consistency. Musah's message was that the standards displayed against Inter must become part of Milan's approach every week, rather than something reserved for the derby.