Chapter 43A of the Minnesota Statutes governs the civil service hiring system of the Minnesota state government. See here. These positions are either part of the executive branch of state government or the judicial branch, which are defined as follows:
Subd. 22.Executive branch. "Executive branch" means heads of all
agencies of state government, elective or appointive, established by
statute or constitution and all employees of those agency heads who
have within their particular field of responsibility statewide
jurisdiction and who are not within the legislative or judicial
branches of government. The executive branch also includes employees
of the Department of Iron Range Resources and Rehabilitation. The
executive branch does not include agencies with jurisdiction in
specifically defined geographical areas, such as regions, counties,
cities, towns, municipalities, or school districts, the University of
Minnesota, the Public Employees Retirement Association, the Minnesota
State Retirement System, the Teachers Retirement Association, the
Minnesota Historical Society, and all of their employees, and any
other entity which is incorporated, even though it receives state
funds. . . .
Subd. 25.Judicial branch. "Judicial branch" means all judges of the
appellate courts, all employees of the appellate courts, including
commissions, boards, and committees established by the supreme court,
the Board of Law Examiners, the law library, the Office of the State
Public Defender, district public defenders and their employees, all
judges of all courts of law, district court referees, judicial
officers, court reporters, law clerks, district administration
employees under section 484.68, court administrator or employee of the
court in a judicial district under section 480.181, subdivision 1,
paragraph (b), guardian ad litem program employees, and other agencies
placed in the judicial branch by law. Judicial branch does not include
district administration or public defenders or their employees in the
Second and Fourth Judicial Districts, court administrators not under
section 480.181, subdivision 1, paragraph (b), or their staff under
chapter 485, or other employees within the court system whose salaries
are paid by the county, other than employees who remain on the county
payroll under section 480.181, subdivision 2.
This statute does not apply to local governments or other independent governmental agencies that are not part of the system. Some local governments may have hiring preferences for military veterans, but if they do, this would be as a result of local ordinances, and not a result of this particular state law.