Hi, Jules,
Yes, remove those unriped figs. You'll want to prune soon, as well. Take a look at the plant page for [LINk=https://www.shootgardening.com/plant/ficus-carica-calimyrna?referrer=%2Fplant%2Fsearch%3Fq%3DFicus+carica+%27Calimyrna%27%26amp%3Bsearch_submit_x%3D18%26amp%3Bsearch_submit_y%3D17%26amp%3Buser_force_login_register%3D] 'Calimyrna' [/LINK]here on Shoot - it has all pruning advice and once you add this plant to your 'Plants I Have' list, you will enable full instructions on how and when to properly prune.
All the best,
Kathy C
Replied: Tuesday 19th of February 2013 07:01 PM