The 27-year-old, who has represented the national side in a Test and two ODIs, has fractured his left middle finger, according to a BCCI media release.
"The BCCI medical team confirms that leg-spinner Karn Sharma has been ruled out of India's tour of Zimbabwe, starting on 7 July 2015, due to injury. Karn has fractured his left middle finger. There will be no replacement for him for the Zimbabwe tour," the release said.
The Meerut-born player, who came into prominence after his exploits for his IPL side Sunrisers Hyderabad, was selected in the 15-member Indian squad to be led by Ajinkya Rahane.