Some connectors slide into the side or top of their sockets and have no convenient place to pry or pull. Typically, these connectors have multiple cables attached and are used for small batteries or speakers.

To disconnect, use the point of a spudger to push on alternating sides of the connector to "walk" it out of its socket.

It may take a lot of alternating before the connector comes out. Be patient, and don't pull on the cables.

To reconnect the cable, align the connector and use a spudger or clean fingernail to push it fully into the socket.

Don't push on the cables themselves, or you may damage the connector.

Some connectors (like the one pictured) have a small marking that shows which side of the connector should be facing up.