He said even after the arrest, police would continue vigil in places of worship.
"As of now it (series of desecrations) appears to be a solo act. But we can't totally rule out involvement of others... Or it need not be a participatory involvement but support of different kind," Parrikar told reporters in Vasco.
The accused, Francis Pereira, had told the police that he "casually" vandalised 12 crosses over the last fortnight with no intention to create an enmity, a senior police officer said.
The Christian religious symbol in at least 12 places and a temple had been vandalised in the South Goa district since July 1.
"As the chief minister and home minister, I was very confident that we will crack it (the cases)," Parrikar said.
"We were going in a very scientific way. We have done a lot of data mining, used technology, as well as many other techniques which normally an investigation agency uses," he said.
On why he was not favouring a CBI inquiry into these cases, Parrikar said, "It (CBI) is not a policing agency, it is an investigation agency and this (desecration cases) required policing."
"You require to track movement of vehicles. All those aspects we have taken into consideration during the current investigation," the chief minister said.
"We have also taken into consideration which were the vehicles near desecration site visiting every day. All this data was mined and properly analysed," he said.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)