Verdict: Partly
Partly. There is no Visio to install on Linux, but Visio for the web runs in Firefox or Chrome on a paid plan, and LibreOffice Draw opens your existing .vsd and .vsdx files for free.
The Visio desktop program is Windows only. Microsoft has never released it for Mac or Linux.
Visio for the web is the official route. It runs in current Edge, Firefox, Chrome and Safari, so it works on a Linux machine the same as any other, and it handles flowcharts, organisation charts, network diagrams and UML. It needs a paid plan. Microsoft 365 business subscriptions cover basic diagrams, and anything beyond that needs a separate Visio Plan 1 or Plan 2 licence. The web version also leaves out a long list of the heavier diagram types, including floor plans, Gantt charts, timelines and value-stream maps, and data linking only exists in the Windows app.
For free, LibreOffice Draw opens Visio files, including .vsd, .vsdx and .vsdm. It is already installed on most Linux systems. Expect a readable diagram with some shapes and connector styling shifted, and note that it cannot save back into Visio format, only to PDF or its own format.
If your work depends on Visio's stencil libraries and data-linked diagrams, this is one of the harder programs to leave. Check whether a Visio Plan 1 subscription and a browser covers what you actually draw before you commit.
Free, already installed, and the only straightforward way to open an old Visio file on Linux. Fine for flowcharts and org charts.
Your files: Opens .vsd, .vsdx and .vsdm for reading and editing but cannot save back to Visio format.
A general drawing program rather than a diagram tool. No stencils or snapping connectors, so diagrams take longer to build.
Your files: Cannot open Visio files. Export to PDF or SVG from Windows first if you want to reuse artwork.
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