Sena, which currently shares an uneasy relationship with the BJP and is also critical of the demonetisation drive.
"In smaller towns and villages, it is the District Central cooperative banks, cooperative urban banks and cooperative credit societies which have taken banking to the masses.
"We urge you to make judicious use of this dense network of cooperative and urban banks by allowing them to participate in the demonitisation drive.
Maharashtra, known to the birthplace of cooperative movement in the country, has nearly 500 such banks that constitute nearly one-third of cooperative banks in India.
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"We are not against the demonitisation drive, but the way it has been implemented. Even during our march against the drive along with the West Bengal anti-demonitisation drive with (West Bengal chief minister) Mamata Banerjee, we have maintained that we oppose the way it has been implemented, but not the decision," Shivsena MPGajanan Kiritikar said.
"The banned notes collected from such financial institutions in cooperative sector should be accepted by nationalised banks," the delegation said.
Kiritkar said the PM has assured the delegation that he will discuss the matter with the Reserve Bank of India (RBI).
The delegation said Maharashtra has some 503 co-cooperative banks with 6000 plus branches and 2800 plus ATMs. It also has 33 district co-operative banks with more than 3000 branches.