What is the brand/model of your gear/amp?
My Rowland M925 amps use non-latching XLR IC input connectors. Tugging/pulling on the connector barrel of the IC is sufficient to release the connection. However, your connector may be of a different type... it might require you to push in gently and twist the IC barrel equally gently anti-clockwise to induce a release.
Do not force it.
You might need to consult the user manual of your device(s), or contact the manufacturer directly.
My Rowland M925 amps use non-latching XLR IC input connectors. Tugging/pulling on the connector barrel of the IC is sufficient to release the connection. However, your connector may be of a different type... it might require you to push in gently and twist the IC barrel equally gently anti-clockwise to induce a release.
Do not force it.
You might need to consult the user manual of your device(s), or contact the manufacturer directly.