The two players were not involved in the team’s 1-0 defeat to WA All Stars last Sunday due to injury.
Both players picked up various knocks at training which kept them out of action.
The pair returned to training on Tuesday as the team prepares for their FA Cup match this weekend.
''Amos Frimpong was given one week. Ollennu was given two weeks. They went through treatment and healing process well. They are two players who give their best,'' team nurse Gabriel Ofori Adjei told Kotoko Express.
Ollenu Ashitey being challenged by Inter-Allies midfielder Samuel Bekoe in a League match
''They can continue giving their best only when they are fully fit. We want to ensure that they return fully fit. That is why we gave them ample time to recuperate.
''We don't want the situation where they would be rushed to aggravate their injuries.''
Amos Frimpong and Ollenu Ashitey has been integral members of the Kotoko squad so far this season.