Andre and Jordan Ayew have agreed to end their international exile after meeting with President John Mahama in Accra.
The two brothers turned their backs on the national team in February following a row with the Black Stars management.
It has emerged that the Olympique Marseille duo first met the President during his recent visit to France.
After their follow-up meeting today, the pair has agreed to make themselves available for the Black Stars.
"Everything is OK and I hope things with the Ghana federation will be better," said Andre said after the meeting.
Andre quit the Black Stars claiming a breakdown in his relationship with members of the Ghana FA while Jordan took a dim view of being dropped for the 2013 Nations Cup in South Africa.
But the Ayews say they are returning without any set conditions.
"We cannot play football with conditions. We play football with our heart. There are no conditions set to our comeback.
"What matters is the best for our country. We are back to do everything and let Ghana qualify for the World Cup," said Andrew.
Sports Minister Elvis Afriyie Ankrah said the President had intervened because he believes Ghana must draw on the strength of all available players.
"When the President went to France he met the Ayew brothers and talked to them," said Ankrah.
He added: "We have had fruitful discussions with them and they have agreed to come back unconditionally. It is a great day for Ghana football.
"We want the best players for Ghana and we should work hard to make them available for the country."
The announcement by the players means they will be available for the 2014 World Cup qualifier against Zambia in September.
Whether national coach Kwesi Appiah will call on their services is another matter.