The coach named two goalkeepers from the Ghana Premier League out of the three shot stoppers called up.
UEFA Champions League finalist Thomas Partey of Atletico Madrid was also called up with Black Stars vice-captain Andre Ayew returning to the team having missed the last international game due to injury.
Black Stars captain Asamoah Gyan did not make the squad with Patrick Twumasi of FC Astana in Kazakhstan making the list.
Full list of players called up by Avram Grant for the Africa CCup of Nations qualifiers against Mauritius in June:
Razak Braimah (Cordoba, Spain), Fatau Dauda (AshantiGold), Richard Ofori (Wa All Stars)
Harrison Afful (Columbus Crew, USA), Daniel Amartey (Leicester City, England), Jeffery Schlupp (Leicester City, England), Baba Rahman (Chelsea, England), John Boye (Sivasspor, Turkey), Jonathan Mensah (Anzhi, Russia), Edwin Gyimah (Orlando Pirates, South Africa), Kadri Mohammed (AshantiGold)
Emmanuel Agyemang-Badu (Udinese, Italy), Afriyie Acquah (Torino, Italy), Thomas Partey (Athletico Madrid, Spain) Samuel Tetteh (WAFA), Mubarak Wakaso (Las Palmas, Spain), Frank Acheampong (Anderlecht, Belgium), Alfred Duncan (Sassuolo, Italy), Christian Atsu (Malaga, Spain)
Andre Ayew (Swansea City, Wales), Jordan Ayew (Aston Villa, England), Ebenezer Assifuah (Sion, Switzerland), Patrick Twumasi (FC Astana, Kazakhstan)
The team is expected to begin training in Accra on Monday, May 30, 2016. Avram Grant and his players will leave Accra for Mauritius on Wednesday, May 1, 2016.
Ghana lead Group H in the Africa Cup of Nations qualifiers with 10 points ahead of Rwanda who have six points, Mauritius who have six points and Mozambique with just a single point.