According to the MCSK boss, the matter should have been resolved quietly since the copyright body had licensed Odinga's team to use music owned by its members.
He called on Kenyan entertainers to conduct a self-evaluation and look at the broader picture if local music is to be given the respect it rightly deserves.
"There's more to music than money. This debate reminded me of the 2002 craze created during the Mwai Kibaki presidential campaign by the use of the song Unbwogable by Gidi Maji Maji.
"Whether there was monetary gain or not, the two musicians stepped into a historical moment and their song defined the campaign that led to the end of the 24 years Moi rule and ushered in the much desired political change," he wrote.
Mutua said MCSK is striving to ensure local artistes are appreciated but a lot still needs to be done.
On inviting foreign musicians to Kenya, the former KFCB boss said there must be policies to ensure they pay higher rates to perform and the money collected can be reinvested to build a much stronger industry.
"While we cannot stop anyone from engaging foreign musicians, there must be a policy to ensure that such foreigners pay higher rates for licenses to perform here and that such monies go to build our industry. To achieve this, we need unity of purpose and we need policy.
"Nowhere in the world has the music industry grown when artists act selfishly and individually. My dream is to see a united music industry that will be a force to reckon with. As long as we remain divided, politicians, even the Government will do what top political parties did yesterday and feel nothing about it. Change must begin from within," he wrote.