Short answer: yes, on a RTX 3090 (24GB) at FP16/BF16. Long answer below.
Mistral 7B v0.3 has 7.2B parameters. At FP16 that's 14 GB of raw weights. Quantization shrinks that, but you also need budget for the KV cache (definition), framework overhead, and safety headroom. The rule of thumb: real usable budget on a card is roughly its nameplate VRAM minus 25%. That's how the table below was computed.
Smallest GPU that fits Mistral 7B v0.3 at any quant: RTX 3090 at FP16/BF16.
Lossless inference needs 14 GB. Pick from 27 cards.
FP16/BF16 fits comfortably (14 GB weights).
Open the calculator pre-tuned for Mistral 7B v0.3: ↗ /calc?model=mistral-7b
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