India and Pakistan have not played a bilateral series since 2013.
Several fans and a Mumbai cricket official have asked India to boycott their World Cup match against Pakistan in June this year after a suicide bomber killed 44 members of the Indian paramilitary police in Kashmir last week.
India and Pakistan have not played a bilateral series since 2013 but they have faced each other in tournaments such as the 2017 Champions Trophy and 2018 Asia Cup, both at neutral venues.
They are scheduled to play in Manchester on June 16.
"We condemn the terror activities carried out against our army and CRPF personnel," Cricket Club of India (CCI) secretary Suresh Bafna told Reuters partner ANI.
"Though CCI is a sporting association but nation comes first, even before sports," Bafna added, asking for a boycott which got the support of several fans on social media.
Acting secretary of the Indian cricket board (BCCI) Amitabh Choudhary could not be reached for comments but a boycott appears unlikely.
Indian event management company IMG Reliance has pulled out of producing the ongoing Pakistan Super League (PSL) and television channel D-Sport has suspended the Twenty20 league's coverage in India.
India captain Virat Kohli sent his "heartfelt condolences to the martyred soldiers" on Twitter.
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