DeSantis clearly was saying that voters shouldn't mess with the success Florida is experiencing under Gov. Scott, a conservative, by electing a candidate with a socialist agenda.
Mr Gillum, however, told Fox News his opponent's "monkey" remark "wasn't lost on me".
Stephen Lawson, communications director for the DeSantis campaign, said the comment had nothing to do with race.
Gillum was able to defeat former Democratic congresswoman Gwen Graham and former Miami Beach Mayor Philip Levine, two establishment Democrats with a big-spending campaign despite spending the least amount of money and having the least television presence.
Democrats immediately decried DeSantis' comment as racist. DeSantis easily won the Republican nomination for governor a day earlier. Democrat Stacey Abrams won the party's nomination in Georgia in May.
Gillum, a far-left Democrat seeking to become the state's first black governor, and DeSantis, a Trump-endorsed Republican, are political opposites, both seeking to gin up turnout among the party's most ardent supporters.
In an interview with Politico, Gillum said Florida would be "looking for a governor that was going to bring us together, not divide us".
"It's going to be very interesting in Georgia and Florida with the personalities of the Republican nominees and the tactics they've already taken and verbiage they've used", said Kimberly Peeler-Allen, co-founder of Higher Heights for America PAC, a group that focuses on black female candidates and voters.More news: Verizon slowed our data as we fought massive wildfire, chief says
Gillum was backed by independent Sen.
In a tweet Wednesday, Trump says McSally is "an extraordinary woman". She is Strong on Crime, the Border and our under siege 2nd Amendment. "Has my total and complete Endorsement!". Kelli Ward and former Maricopa County Sheriff Joe Arpaio in Tuesday's primary election.
McSally's Democratic opponent is fellow U.S. Rep. Krysten Sinema.
Florida Democratic gubernatorial nominee Andrew Gillum called for the formation of a confederacy on Wednesday during an appearance on CNN which drew praise from host Chris Cuomo, who said he had never "heard that before". The winning Democrat, Andrew Gillum, did not lead in a single major poll before the votes were counted. "I'm not going to get down in the gutter with DeSantis and Trump", he added.
"Well, in the handbook of Donald Trump, they no longer do whistle calls", said Gillum.
According to the Federal Bureau of Investigation's Uniform Crime Report, Leon County did see a spike in murders in 2017 reaching a record high of 22, but nearly every other number was lower.
The district covers the southeastern corner of Arizona from most of Tucson down to the U.S-Mexico border. Florida's registered Republicans are 83 percent white.
All 435 seats in the House of Representatives will be up for grabs in November along with 35 seats in the 100-member Senate.