Let go of me — I can't breathe.

Literal

Release [give-me-くれ], breath [subject-が] gets-blocked

放す (to release/let go) + てくれ = an urgent masculine demand. 息が詰まる literally means 'breath gets blocked' — the intransitive 詰まる (to be packed/clogged) with 息 as subject. The urgency comes from the bare imperative てくれ and the direct, unhedged consequence.