No such thing. There are experimental forks with a savestate though.

There is a pause command in DOSBox. By default it's triggered with [Left Alt] + [Pause] key combination.

Application checkpoint and restore (shortened to c/r or CR) is a kernel-level feature with user-space tools that let you save the running state of an application to disk and restore it at a later time, such as across reboots.

It's like a mini suspend-resume; it captures a single process-space instead of the entire machine.

It's available in the baseline Linux kernel (so no patches needed) although you might need to enable (kernel config and rebuild) it if your distro hasn't enabled it.

Check it out here - https://criu.org/Main_Page