Palmetto is a city in Manatee County, Florida, United States. As of the 2020 census, the population was listed as 13,323. It is part of the Nor…Palmetto is a city in Manatee County, Florida, United States. As of the 2020 census, the population was listed as 13,323. It is part of the North Port–Sarasota–Bradenton metropolitan statistical area.