[Ecstatify]

"As an EU national, you're entitled to work — for an employer or as a self-employed person — in any EU country without needing a work permit."

ref: https://europa.eu/youreurope/citizens/work/work-abroad/index....

[whenc]

Iceland already has freedom of movement (to live and work) due to its EEA membership; and it is only somewhat to do with Schengen, which is about passport free travel not living and working. You can have FoM without Schengen - e.g Romania until 1st Jan 2025.