The kicking team may relocate. Free kicks may be made "on or between the hash marks" and there is no restriction as to when the ball may be moved (except before the play clock ends when the ball must have been kicked). The previous spot definition doesn't really apply to a free kick because of this, and Team A choosing to relocate the spot of the ball is not allowed on any scrimmage downs except a few (try, after safety and touchback, etc.). The rules cover that and what happens after both a Team A and Team B foul.