inline-docker-gui.ps1

# This command runs on the host side of the window
#
# Deps
# - WSL Kali-linux
# - Docker
# - PowerShell Core
# - Windows11

write-output "FROM alpine:3.16.2 `nENV DISPLAY=:0 `nRUN set -eux && apk update && apk add --no-cache xeyes `nCMD [`"xeyes`"]" | out-file "./docker-xeyes" -encoding utf8 &&
docker run --rm -it -v \\wsl.localhost\kali-linux\tmp\.X11-unix:/tmp/.X11-unix "$(docker build -f ./docker-xeyes -q .)" &&
Remove-Item ./docker-xeyes

inline-docker-gui.sh

# This command is executed in a shell within a WSL.
#
# Deps
# - WSL Kali-linux
# - Docker
# - Windows11

export DOCKER_CONTENT_TRUST=0 && \
docker pull alpine:3.16.2 && \
printf 'FROM alpine:3.16.2 \nRUN set -eux && apk update && apk add --no-cache xeyes \nCMD ["xeyes"]' > ./docker-xeyes && \
docker run --rm -it -v /tmp/.X11-unix:/tmp/.X11-unix -e DISPLAY "$(docker build -f ./docker-xeyes -q .)" && \
/bin/rm ./docker-xeyes

Result

On windows

On WSL

Note:

The WSL file can be accessed with {wsl.localhost}, but accessing it with that will create an errored network socket file that cannot be deleted again, so the PowerShell script version of Windows is deprecated.