We propose a mechanism of supercurrent-induced phonon angular momentum in mixed parity superconductors and $s$-wave superconductors with spin-orbit coupling. We derive analytical expressions of phonon angular momentum induced by the supercurrent by perturbative calculation. The physical interpretation of this effect is also discussed.

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• Phonons
• Noncentrosymmetric materials
• Superconductors
• Unconventional superconductors
• Feynman diagrams
• Green's function methods