I had a similar problem. I have a new installation of Lubuntu 22.04 (LXDE version of Ubuntu). I downloaded the zip file, uncompressed it and changed the file chrome-sandbox to root, and chmod to 4755. I got this error. The AppImage does not work, even after installing fuse.
The solution was to go to URL Etcher - Browse /v1.19.25 at SourceForge.net; Download: balena-etcher_1.19.25_amd64.deb (110.3 MB). Then execute:
apt install apt install libgdk-pixbuf2.0-0
apt –fix-broken install
dpkg -i balena-etcher_1.19.25_amd64.deb
Then go to the GUI Menu > Accessories > balenaEtcher {add password}. This worked for me!