The 25-year-old cricketer was denied the NOC by Iqbal Shah, General Secretary, Jammu and Kashmir Cricket Association (JKCA) on May 3 because of alleged internal politics in the association.
The budding player was given the NOC late last evening after the CM intervened in the matter.
An official in the Chief Minister's Office (CMO) said the personal intervention of Mehbooba Mufti led to the cricketer getting the document.
He said the Chief Minister was keen that the cricketer should play in county cricket and made sure he got the necessary document.
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"She asked us to help and support Sofi in every possible way to make him realise his dream," the official said.
"I got the NOC from JKCA after Chief Minister Mehbooba Mufti personally intervened in the matter," Sofi told PTI here.
The cricketer, who has represented Jammu and Kashmir in one Ranji Trophy, four List A and five T20 matches, said he was called by the CMO for a meeting yesterday at her residence in Gupkar area here.
"I reached the JKCA office along with the Chief Minister's personal assistant who asked the general secretary to issue the NOC without delay, which he did," Sofi said.
He said after receiving the NOC, he had a meeting with the Chief Minister, who also issued a visa recommendation letter addressed to the British High Commission in New Delhi.
Sofi said the Chief Minister told him the government would help talented youngsters in the state.
"She told me that her government stands for extending help to the youth in achieving their dream. She also issued a recommendation letter addressed to the High Commission for my visa," the pacer said.
The cricketer would leave for Delhi tomorrow.