The Black Stars have been drawn against the two unheralded teams, as well as defending champions Cameroon in Group F of the June 21-July 19 championship.
While Guinea-Bissau are set for just their second appearance at the continental gathering, Benin will be making their fourth outing.
“It’s always difficult when you play against teams like Guinea Bissau and Benin because you don’t know what they’ve got up their sleeves," Empoli ace Acquah told Football Italia.
"But I’m confident we can qualify out of the group.
"Winning the AFCON is our major aim and we always discuss it amongst ourselves when on national duty."
Four-time champions Ghana will open their campaign against Benin on June 25, four days before facing Cameroon. The Black Stars' last group game will be against Guinea-Bissau on July 2.
"Anytime I’m given the opportunity to play for my country, I give my all," Acquah, who was snubbed by coach James Kwesi Appiah for a double-header against Kenya and Mauritania in March, added.
"But I believe the Coach knows best when it comes who deserves a call-up.”
Ghana are seeking to win the tournament for the first time since 1982.