Mr. Gowda also said his Janata Dal (Secular) will contest the Lok Sabha elections alone.
"It was disgusting," said Congress General Secretary Madhusudan Mistry.
The Union Minister says that if the party thinks he is fit for the office, then he can be considered to be chief minister.
Mr Kumaraswamy says the JD(S) will fight against the Congress like they fought against the BJP in Karnataka.
"Don't know why this is happened and how. We will have to analyse the situation," he said.
"This accidental fluke victory of the Congress is because of the split in BJP," he said.
The Congress leader said "Rahul Gandhi has gone into difficult states, but he is not tom-tomming it."
Mr Parameshwara said, "People of Karnataka know the real colour of the BJP."
He said this when asked whether one of the reasons the BJP was drubbed was because Mr Modi's magic did not work.