For what it's worth, I think "Offer me a place at your startup" is better English, being more clear and less wordy that hajrice's alternative. Rare is the English speaker outside the US or UK who will award you points for speaking in a roundabout manner, and I believe "fit" and "team" are Americanisms.

That's not to say that Silicon Valleyspeak is not the practical choice for this particular situation. But I'd rather not see that become the standard for how native speakers speak.