Does Adobe Illustrator work on Linux?
No. Adobe does not make Illustrator for Linux; Inkscape and Figma are the closest Linux alternatives.
Some Windows programs run under Wine or Bottles, but results vary by version. Check the WineHQ application database before relying on it.
Best Adobe Illustrator alternatives for Linux
Vector Graphics Editor
FigmaWorks in the browserPartly. Figma has no desktop app for Linux, but the web version works in a Linux browser, and the unofficial figma-linux app wraps it.
Sources
Adobe Illustrator on Linux: common questions
Does Adobe Illustrator work on Linux?
No. Adobe does not make Illustrator for Linux; Inkscape and Figma are the closest Linux alternatives.
What is the best Linux alternative to Adobe Illustrator?
Inkscape and Figma are the closest alternatives that run on Linux. Inkscape: Inkscape project publishes an official Linux version of Inkscape. It’s on Flathub (1.5M installs) and in the Ubuntu, Debian, Fedora, Arch Linux and openSUSE Tumbleweed repositories.