Far right internet activist Jack Posobiec and "a coalition of free speech activists around the US" organized the march, according to the official "MarchOnGoogle" site.
"We are going to raise awareness about Google's one-sided bias and campaign against dissenting opinions and voices," Mr Posobiec told the media on Thursday.
The marches will take place "anywhere Google has an office" including Austin, Boston, New York City, Mountain View, and Washington D.C., reports The Hill magazine.
"Google is a monopoly, and it's abusing its power to silence dissent and manipulate election results," says the website.
Mr James Damore, a software engineer at Google, was fired this week after he circulated a controversial anti-diversity memo.
Google CEO Sundar Pichai said Mr Damore's memo violated the company's code of conduct.