Adam Kwarasey has been granted the permission to stay because of a family emergency in Norway, while another Denmark-based player Godsway Donyoh has also been left out as he has not recovered from a recent injury he sustained, whereas USA based player Mohammed Abu has been excluded from the squad.
Appiah with the match against the Ethiopians looming needed to prune his squad ahead of Sunday's tie
Michael Abu will however join the Black Stars for their friendly against Mexico in Texas on June 28, before facing USA on July 1 in in Connecticut.
Meanwhile Kwesi Appiah has handed a late call-up to David Accam who was not part of the original squad for the Black Stars double header against Mexico and USA.
The AFCON qualifier against Ethiopia has been scheduled for Sunday June 11 at the Baba Yara Stadium in Kumasi.
The team will travel to the United States two weeks later as the Black Stars will face Mexico in Houston, Texas on June 28 and the USA in Connecticut on July 1.
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Below is the squad Kumasi trip:
Goalkeepers: Richard Ofori (Wa Allstars), Felix Annan (Kotoko), Joseph Addo (Aduana Stars)
Defenders: Harrison Afful (Columbus Crew, USA), Daniel Amartey (Leicester City, England), Lumor Agbenyenu (Munich 1860, Germany), Daniel Darkwah (Aduana Stars, Ghana), John Boye (Sivasspor, Turkey), Rashid Sumalia (Al Gharafa, Qatar), Nicholas Opoku (B.Chelsea, Ghana), Jonathan Mensah (Columbus Crew, USA), Jerry Akaminko ( Eskiserhispor, Turkey), Samuel Sarfo (Liberty, Ghana)
Midfielders: Afriyie Acquah (Torino, Italy), Isaac Sackey (Alanyaspor, Turkey), Thomas Partey (Atletico Madrid, Spain), Ebenezer Ofori (Stuttgart, Germany), Winful Cobbinah (Hearts of Oak), Yaw Yeboah (FC Twente, Holland), Andre Ayew (West Ham, England), Frank Acheampong (Anderlecht, Belgium), Thomas Agyepong (NAC Breda, Holland), Kingsley Sarfo, (Sirius, Sweden)
Attackers: Asamoah Gyan (Al Alhi, UAE), Jordan Ayew (Swansea City, England), Majeed Waris (Lorient FC, France), Raphael Dwamena (FC Zurich, Switzerland)