The Mali international impressed during his country's Africa Cup of Nations campaign earlier this year and his transfer to the Rossoneri was announced last week when he penned a three-year contract. The midfielder confessed that he is looking forward to meeting his new team-mates and hopes not to disappoint his new employers.
"I cannot wait to experience another dimension, another world, and to meet some of the biggest players in the game," Traore revealed to France Football.
"I always thought that to attract prestigious clubs such as Milan, you had to grow up in big clubs and play the European Cup.
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| TRAORE'S SEASON AT NANCY
"Every footballer dreams of reaching the highest level. Hopefully I'm not going to disappoint them. I want to show that I'm able to play there."
The 27-year-old also took time to thank Nancy for giving him his big chance and scoffed at suggestions that he will be instantly loaned out by his new club.
"I do not know if this is because there are many differences between Nancy and Milan people ... but this is not true at all [going out on loan].
"If they have brought me here, it is because they believe in me and they think I am able to meet the challenges.
"It is Nancy who gave me my chance in Ligue 1. I will not forget that. Three years later, I have joined one of the best clubs in the world. It is also thanks to them that I am here."
Traore featured for Nancy from 2009 to 2012, scoring 11 goals in over 70 league appearances.