Нет места для меня в команде - NAH, it would be "There is no place for me in the team", like they dont want u to join them or whatever. But u should translate "I" as "Я" in ur case. There is no "I" in the team - Никаких "Я" в команде (I would say like that) Though, in my opinion, u should never forget about urself, and some kind of "I" has to be... So i would better say "No egoism in the team" (В команде нет места эгоизму) or something like that. And some extra-phrases about the team-work, just by the way: "Когда мы вместе - никто не круче" (When we are together, noone is cooler) "Один за всех, все за одного" (One for all, all for one)

Один в поле не воин. В команде нет места индивидуальности. Забудь про существование "Я", когда ты в команде.

I think, "В команде для меня нет места" sounds more natural. Just reread your question one more time. The answer is literally В команде нет "Я".

В команде нет места "я"