The Short Version
This claim is misleading as stated. Aspirin is a recognized analgesic that can relieve general muscle aches through COX/prostaglandin inhibition, and some evidence supports short-term soreness reduction after acute muscle injuries. However, a recent placebo-controlled trial found NSAIDs did not alleviate exercise-induced muscle soreness (DOMS) — the most common context people associate with "muscle soreness." The blanket claim omits critical distinctions about the type of soreness, dosing, and timing, and ignores evidence that NSAIDs may impair muscle repair.