In a letter to Aam Aadmi Party leader and Delhi chief minister Arvind Kejriwal, Chandy wanted him to prevail upon Vishwas to withdraw the remarks and tender an apology.
"It is most unfortunate that the Aam Aadmi party is tight-lipped regarding the derogatory remarks on Malayali nurses," he said.
The Kerala chief minister said that Malayali nurses were a pride for Keralites, their services is praised world over.
Making such derogatory remarks about them is most unfortunate and not fit for a developed society," Chandy added.
The comments of Vishwas against Malayali nurses made during a speech at Ranchi in 2008, uploaded in a social networking site recently, had sparked strong protests across Kerala, especially from the Congress.
The AAP state unit has also voiced resentment at Vishwas's comment.
AAP office was allegedly ransacked by Youth Congress activists at Kochi on Monday.
India vice-president of the Mahila Congress Bindu Krishna, had demanded that a criminal case be registered against the AAP leader for making "sexist comments" against Malayali nurses, who had a reputation for rendering exemplary services in hospitals within and outside the country.
Joining the chorus of protesters was eminent Malayalam writer and activist Sara Joseph, who last week joined AAP.
"Remarks of Vishwas are totally deplorable. I strongly protest at it. I expect that the AAP leadership will come out with a clarification on the issue," Joseph told the media.