
The 28-year-old injured his bowling hand while catching a ball in training at the Sharjah stadium.
Team manager Intikhab Alam said Khan was taken to hospital for treatment.
I hope to perform better with the bat: Wahab Riaz
"Khan hurt his bowling hand and a finger so he was sent to hospital, where he got four stitches and he will take ten days to recover," Alam told AFP.
The third Test starts in Sharjah from Sunday.
Khan, who made his debut against Australia last year, took six wickets in the two Test matches, four in Dubai where Pakistan won by 178 runs.
The first Test ended in a draw in Abu Dhabi.
Bilal Asif's bowling action found to be legal: ICC
Pakistan have the option of bringing in left-arm paceman Rahat Ali, who played in the first match.
Pakistan can also bring in off-spinner Bilal Asif whose bowling action was cleared late Friday.
His action was reported as suspect during the third one-day international against Zimbabwe at Harare on October 3. He underwent biomechanical tests in Chennai, India on October 19.
The International Cricket Council said Bilal can resume bowling at the international level.
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