Parrikar's assurance comes after the opposition parties claimed Sports Minister Ramesh Tawadkar backed the ill-fated project, in which two flats were allotted to him.
"I will probe the nexus if people provide substantial evidence," Parrikar told reporters on the sidelines of a function in the capital.
Tawadkar, a legislator from the Canacona assembly constituency, 80 km from here, denied the charge and said he bought the flat with his "hard-earned money".
At least 17 people were killed in a building collapse on Saturday.
"The flat has not been given to me in return for a favour," Tawadkar clarified. However, both the Congress and the Nationalist Congress Party demanded a judicial probe into the accident.
The government has appointed a three-member panel headed by a retired Indian Administrative Service (IAS) officer to probe the reasons for the crash and fix responsibility for what Parrikar called was "Goa's biggest building disaster".
Parrikar also said that nearly a dozen bodies, believed to be still trapped under the rubble, will be salvaged within 24 hours after a building adjoining the crash site is demolished. It has developed cracks and is posing a risk to the rescue teams.