An implant and method for repairing and/or replacing functionality of a native mitral valve are in various embodiments configured to reduce or eliminate mitral regurgitation and residual mitral valve leakage. A coiled anchor can be used to implant a prosthetic valve in a native mitral valve of a heart. The coiled anchor can include a first turn, a second turn, and a third turn. The coiled anchor is configured to be implanted at the native mitral valve with the second turn and the third turn positioned in a left ventricle of the heart and around the valve leaflets of the native mitral valve. The first turn is positioned in a left atrium of the heart such that the first turn is spaced apart from the native mitral valve. The coiled anchor is configured for positioning such that the first turn is the sole turn of the coiled anchor positioned in the left atrium.