The Phobians were hit with the resignation of three of their technical team members including head coach Kosta Papic who sighted some irregularities impeding his performance at the club.
“I'm the only solution for Hearts Of Oak,” he posted on his Facebook page.
The 44-year-old was a member of the Ghana team that participated in the 1991 and 1993 FIFA World U-17 Championships.
Barnes, who holds the UEFA License B certificate has previously managed the U-17 side of Bayer Leverkusen.
The club is in search of a substantive coach following Papic’s exit.