A local coil arrangement for a magnetic resonance apparatus has a support structure with an antenna arrangement and a sensor arrangement embedded in the support structure. The antenna arrangement has a number of magnetic resonance antennas. A magnetic resonance excitation signal can respectively be emitted by means of each magnetic resonance antenna and/or a magnetic resonance signal can respectively be received by means of each magnetic resonance antenna. The sensor arrangement has a number of magnetic field sensors and an evaluation circuit. The magnetic field sensors detect how large a static magnetic field is to which the local coil arrangement is exposed and output a corresponding output signal and supply a corresponding output signal to the evaluation circuit. The evaluation circuit determines a logical presence signal and outputs it. The value of the logical presence signal depends on whether a field strength of the static magnetic field is greater than a minimum field strength.