For anyone looking for solution to change location on embedded google map, it is enough to add two parameters to link generated by google mymaps. Whenever you update iframe's src attribute, map will be centered at location passed as "&ll" parameter with zoom set as "&z" parameter.
Example google embedded map: https://www.google.com/maps/d/embed?mid=1yXnPlHWUqk3okD9H5SlyohY-J3XZ6MY
Link with new location and zoom: https://www.google.com/maps/d/embed?mid=1yXnPlHWUqk3okD9H5SlyohY-J3XZ6MY&z=16&ll=46.684402661532054,6.351340087579852