The Black Stars came close to clinching a semifinal berth at the 2010 World Cup, but lost to Uruguay in a penalty shootout after Luis Suarez was sent off in extra time for keeping the ball out of the goal with his hands and Asamoah Gyan missed the ensuing penalty.
Ghana FA president Kurt Okraku told BBC Sport Africa: "It is clear it will be revenge time."
Ghana kickoff their World Cup campaign against Portugal on Nov. 24 before facing South Korea on Nov. 28. They will face Uruguay in the last group match on Dec. 2.
"There are no easy groups, there are difficult ones," Portugal coach Fernando Santos said after the draw. "We have to be very careful."
After the draw, France manager Didier Deschamps said: "It could have been worse, I don't know if it could have been better. I'm always calm, it's one step forward. It's a solemn moment. It allows us to plan ahead. We're feeling good about it."
No African team has made it past the quarterfinals of a World Cup. Cameroon reached the last eight in 1990 before Senegal matched the feat in 2002 and Ghana in 2010.
At the last World Cup in Russia 2018, there were no African representatives in the knockout rounds with Senegal eliminated by Japan via the fair play rule after finishing level on points and goals scored and conceded.