The 23-year-old does not feature on the list of players for the tournament, which runs from Jan. 19 to Feb. 10, published on the Royal Moroccan Football Federation website (www.frmf.ma).
The mercurial Taraabt has been out of favour with the national team but hoped to have done enough to impress Morocco coach Rachid Taoussi, who took charge in the summer.
"I hope to be at the African Nations Cup but even if I'm not there, and that would be painful, I'll be the biggest Morocco supporter," he said on the lequipe.fr African soccer blog.
Arsenal striker Marouane Chamakh has also been omitted from the squad which includes Aston Villa midfielder Karim El Ahmadi and Liverpool forward Oussama Assaidi from the Premier League.
Goalkeepers: Khalid Askri, Nadir Lamyaghri, Ana Znaiti
Defenders: Younes Belakhdar, Abderahim Achchakir, Zakaria Bergdich, Abdelhamid El Kaoutari, Mehdi Benatia, Issam El Adoua, Ahmed Kantari
Midfielders: Adil Hermach, Karim El Ahmadi, Younes Belhanda, Mehdi Namli, Kamel Chafni, Chakhir Belghazouani, Hamza Hafidi
Forwards: Oussama Assaidi, Nordin Amrabat, Abderazzak Hamdallah, Abdelaziz Barrada, Youssef El Arabi, Mounir El Hamdaoui, Youssef Kaddioui (Writing by Ken Ferris in London; editing by Justin Palmer)