All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
Collective supplication after each prayer is a matter that is not in conformity with the Sunnah and doing this on a regular basis renders it an innovation.
However, you are not obliged to leave the row or the mosque, and there is nothing wrong in staying in your place and completing the Thikr (mention of Allah) that is said after the prayer.
Allah knows best.