There is "anarchy" prevailing in the coastal state in Parrikar's absence, the Sena claimed, adding the party was grappling with the problem of who could replace Parrikar as it does not have anyone "suitable" for the top post.
The development came a day after BJP president Amit Shah said that Parrikar would remain in his post, putting to rest speculation about continuance of the ailing chief minister.
The development comes at a time when Chief Minister Parrikar is undergoing treatment for a pancreatic ailment at the All India Institute of Medical Sciences (AIIMS) in New Delhi.
The opposition Congress, which is the single-largest party in the state, has staked claim to form the government.
The government is functioning "very well" and all the alliance partners are firmly supporting Parrikar, who is undergoing treatment at Delhi's AIIMS, the BJP leader asserted.
Appointing a new Chief Minister would force the BJP-led government to face a floor test and prove its majority in the Assembly
The move comes at a time when 62-year-old Parrikar is admitted in the AIIMS in Delhi for a pancreatic ailment. Goa is being ruled by the BJP-led Alliance headed by Parrikar.
The root of the current political situation can be traced back to the 2017 Goa assembly elections, when the BJP formed the government despite winning lesser seats than the Congress
Parrikar is currently recuperating in AIIMS in New Delhi and three observers from the BJP are in the coastal state to take stock of the political situation.
Sources in the premier hospital said although 62-year-old Parrikar "is not critical", he was under observation. He is admitted at the old private ward under Dr Pramod Garg, professor of gastroenterology.
The move came at a time when the BJP high command has sent three senior leaders Ram Lal, B L Santhosh and Vinay Puranik here to meet the state party leaders and allies to take stock of the political situation.
BJP president Amit Shah has sent three senior members of the party -- B L Santhosh, Ram Lal and Vinay Puranik -- to Goa to take stock of the political situation in the coastal state in view of Parrikar's indisposition.
BJP leader Michael Lobo has said that party emissaries would suggest to allies Goa Forward Party (GFP) and Maharashtrawadi Gomantak Party (MGP) that they should become part of the BJP.
Deputy Speaker and BJP MLA Michael Lobo said he met Parrikar at the hospital and the chief minister was fine.
In a letter to governor Mridula Sinha, Goa Congress chief Girish Chodankar said in such a scenario, the Congress should get a chance to form the government, and the Assembly should not be dissolved before its term is over.
Parrikar returned home on September 6 from the US, where he had gone for medical treatment in the last week of August. He was earlier in the US for nearly three months for treatment
He was seen walking out of the airport building before driving off. Parrikar underwent treatment in the US for a pancreatic ailment for nearly three months earlier this year.
Congress has been demanding that the government should be dismissed owing to Parrikar's absence and the ill-health of two other ministers
"The chief minister will be back in Goa on September 8," state BJP chief Vinay Tendulkar told reporters here, adding that the chief minister will also attend the party's national executive meeting in Delhi the next day.
Parrikar, 62, underwent treatment in the US for three months earlier this year for a pancreatic ailment and returned in June. He went there again for a follow-up earlier this month.
Parrikar, 62, had flown to Mumbai on August 23 and was admitted to the Lilavati Hospital there.
Parrikar (62) returned to Panaji from the US last evening. He had gone to the United States on August 10 for a follow up treatment.
Parrikar, a former Defence Minister, said he was deeply pained by the death of Vajpayee.
A question regarding status of the industrial projects in the coastal state was raised by Congress legislator Nilkant Halarnkar.
Parrikar gave this information while responding to the issue raised by Congress MLA Wilfred D'Sa during the Question Hour.