The Moroccan attacking midfielder last week joined the Italian giants on loan until the end of the season from QPR and is confident he can fulfil his potential at the San Siro and in Serie A.
The 24-year-old Taarabt was presented on Wednesday by club vice-president Adriano Galliani and is eager to make the desired impact at Milan.
"This is a big change for me," Taarabt said. "I have played in important clubs but none like Milan.
"Tottenham, QPR and Fulham are good clubs but not as organised and as professional as Milan.
"This is the great challenge in my career and I cannot wait to prove my quality on the pitch."
Taarabt had joined Fulham on a season-long loan from relegated QPR last summer but made just 16 appearances for the Cottagers in all competitions.
"I hope this is a starting point for me," he said. "Milan has given me this opportunity and I want to make the most of it hoping that this is the start of a long path.
"I am young and I have always been told that I have a lot of talent.
"These club has given me confidence and I hope I can prove my worth."
Taarabt will have plenty of motivation to do well at Milan with the club having an option to sign him on a permanent basis this summer.
Galliani hopes Taarabt, who is Milan's fourth reinforcement in the winter transfer market, can deliver.
"I have always considered Taarabt a great player," he said. "I still can't understand how he has not been able to express his talent.
"I have great hope that with our jersey he can become the player I believe he is. I hope he can become a great player with us."