The striker, 23, has not represented his country since March due to a row over bonuses - but wants to play in next month's crucial African Nations Cup qualifier against Mali.
Togo need a win to reach the finals in Ghana and Adebayor would miss up to six games if they qualify and he is named in the squad for the tournament.
He told French television station TV2: "I am Togolese and I love my country. If everything goes well I will return to the Togo team for the match against Mali.
"Just because I missed the last two matches it didn't mean I had quit international football. Togo need me. Together, we will try to qualify."
Adebayor would be unavailable for Premier League games against Fulham, Newcastle, Manchester City and Blackburn. He would also miss the FA Cup fourth round matches and the Carling Cup semi-finals if the Gunners are still involved.
Arsene Wenger is also likely to be without Kolo Toure and Emmanuel Eboue - who play for the Ivory Coast - between January 20 and February 10.