Minnesota does not authorize permitless carry of a pistol. Section 624.714 subd. 1a makes it a gross misdemeanor to carry, hold, or otherwise have on or about one's person a pistol in a public place without a Permit to Carry, with limited statutory exceptions (e.g., at home, place of business, hunting, target range).
"A person, other than a peace officer, as defined in section 626.84, subdivision 1, who carries, holds, or possesses a pistol in a motor vehicle, snowmobile, or boat, or on or about the person's clothes or the person, or otherwise in possession or control in a public place... without first having obtained a permit to carry the pistol is guilty of a gross misdemeanor."
Minn. Stat. § 624.714, subd. 1a statute