Utpal also said that resignation was a formality but the BJP will "always remain in my heart.
Utpal Parrikar is hoping the BJP would give him a ticket for the Assembly polls.
Gen. Bipin Rawat, India's first Chief of Defence Staff and Army Chief prior to that, had a close association with Parrikar when he was Defence Minister. In fact, it was on Parrikar's watch in the MoD that Gen. Rawat was made the Army Chief.
The bypoll for the Panaji Assembly constituency was necessitated following the death of its MLA and Chief Minister Manohar Parrikar in March, after a prolonged battle with pancreatic cancer.
Refusing ticket to the late chief minister's son, Utpal, the BJP has fielded former MLA Siddharth Kunkolienkar.
The inquiry was ordered with the circulation of photos showing four priests chanting and walking about in the area, where Parrikar's remains had been kept.
BJP president Vinay Tendulkar now claims that the swearing-in ceremony had been 'slightly delayed'.
The politician, recently seen in the RSS uniform at a Sangh event, was on Monday sworn in as the new chief minister of Goa following Manohar Parrikar's death.
The mortal remains of Parrikar, wrapped in the national tri-colour, were placed on a pyre amid a 21 gun salute.
Manohar Parrikar’s first visit to Bengaluru as the defence minister was on January 17, 2015.