Arjun Tendulkar was born in Mumbai, Maharashtra to former cricketer Sachin Tendulkar and Anjali Tendulkar (née Mehta) in 1999. He has an elder sister, Sara Tendulkar. His maternal grandparents are Anand Mehta, a Gujarati industrialist, and Annabel Mehta (née Lancaster), an English philanthropist who was awarded the Order of the British Empire for her service to underprivileged communities in Mumbai. Mumbai Indians brought him in auction ahead of the 2021 IPL. In September 2021, he was selected in Mumbai's senior squad for the first time. He was included in Mumbai's 22-man Syed Mushtaq Ali Trophy squad. However, he was later ruled out of the 2021 IPL due to injury. In February 2022, he was again brought by the MI, this time in the auction for the IPL 2022 tournament. In August 2022, he quit Mumbai to join Goa ahead of the domestic season. He is playing for them in 2022–23 Syed Mushtaq Ali Trophy.