This is a very simple achievement. From the main menu select MyGM. The settings don't really matter so press
to continue to the team selection screen. Pick any team you like then skip through the conversation with the owner. Once at the calendar view, press B to go to the MyGM menu and scroll to Team Relocation.
You have to get a little green "complete" stamp on each item of the proposal before it can be submitted. First, select a new
city, then select each item (Team Branding, Design Arena, Design Uniform, and Select Facilities) and, after it loads, press B and select Save Changes. This completes the part of the proposal and gives you the "complete" stamp. Once the first 5 menu options have this, select Submit Proposal, confirm, and that will unlock the achievement.
Please leave a comment if I can improve this solution in any way.