Hi,
Fig trees do sucker. I removed one root shoot and couldn't find the link to the main trunk.
I just put my hand in the dirt around the root shoot to secure some dirt around the shoot, and I pulled it out.
She's in her own pot now and doing well.
On bigger shoots, I just put my hand at dirt level and pull them out. Most of the time they come out with some roots and that's enough for them to thrive.
Last September, I grabbed two root shoots from a neighbor's tree that I exchanged against a one season old rooted cutting.
One came out with no roots, but the second had nice roots. They both made it although the rooted one performed better - the other one got shaded from a pumpkin: That didn't help I guess ...