To choose the ideal location, Amazon does have some pre-requisites, including a metropolitan area with more than one million people, and a "stable and business-friendly environment" that can attract and retain technical talent.
But Dayton, a Democrat who has supported tax breaks and other incentives to lure economic expansion, says Minnesota would make a good home for Amazon.
Amazon is planning for as many as 50,000 employees at "HQ2", which could be as large as 8 million square feet by the time construction is completed.
A spokesperson for the city of Chicago wouldn't comment on whether it will submit a proposal, but gave the following statement: "Chicago's unmatched workforce, world-class universities and unparalleled access to destinations throughout the world make it the ideal headquarters location for companies large and small".More news: The Duchess of Cambridge is pregnant with her third child: Kensington Palace
Amazon, which has long favored growth and investments over profit, has been growing rapidly as it expands dozens of programs, including its instant-delivery service Prime Now and Amazon Fresh.
Amazon is hunting for a second home outside of its main Seattle headquarters.
Over the last few years, Amazon has expanded massively, and now has more than 380,000 employees worldwide and has plans to create 130,000 U.S.jobs by the middle of 2018.
Amazon is accepting proposals through October 19.
If Amazon opts for a location in America's bread basket, it would not be the only big company investing outside of Silicon Valley.
In addition to some pretty specific location requirements-like proximity to an worldwide airport, size of the local population, and access to fiber optic internet service-Amazon does want the competing cities to offer some incentives. While big US metro areas like New York, Boston, Philadelphia, Los Angeles, Chicago, Atlanta and Austin immediately come to mind - what about a bustling tech center to the north? This won't be some kind of satellite office, but rather one that Amazon says will be equal in size and importance to its current headquarters in Seattle.