"They have contacted coach Ratomir Dujkovic who understood Fenerbahce's difficulty and he has agreed to release me for the crucial match," Appiah told BBC Sport on Wednesday.
Fenerbahce will be without three of their starters in Friday's match against Genclerbirligi, which forced them to contact Ghana to release Appiah.
"Whatever I do in my football career, my country will forever come first. That is why I have camped with the national for the entire three weeks before the tournament.
"But it is an extremely difficult situation for both sides as three key players are out because of injury," Appiah said.
When asked whether the trip could affect his performance in Ghana’s Group D opener against Nigeria o Monday Appiah said: "Sometimes in Europe, we play every two days so this is not new to me."
"Since I will only be going for one match and the journey is only an hour and thirty minutes with the special jet Fenerbahce have provided, I will not be tired for the Nigeria game,” the 25-year-old forward said.