"I am making a satisfactory recovery from my rib cage injury and it is not giving me any serious problems now. I am keen to play in the Asia Cup if the Board reconsider their advice to the selectors," said Shoaib, who is currently playing for English County Durham.
The Pakistan Cricket Board (PCB) had advised the selectors not to consider Shoaib for selection for Asia Cup, starting in Sri Lanka on July 16, as he was not fully fit and even Durham had asked it to use the bowler sparingly.
But Shoaib said he had resumed playing matches for Durham and was feeling much better.
"I am playing in only selected matches but I am not feeling any pain. I have made good progress under the supervision of specialists and trainers," he was quoted as saying from Durham in local daily The News.
The fast bowler also defended his decision to bowl in the last two matches for Durham despite having said before that he would only bat as he did not want to exert himself too much.
"I want to make a name for myself as an all-rounder. But I am bowling without any problems," he said.
Shoaib scored 45 against Somerset in a One-day match as a batsman on Monday.