In my current role, I worked full-time in the office first. It was widely known I was moving countries at the end of that year and I had assumed I'd have to leave the company before they offered to support me remotely.
This meant that through circumstance I already had quite a bank of trust built up so my employers were able to trust that I could successfully work remotely.
If you're not in that situation - you will have to find other ways to build that trust. I'd start with one day a week and build on it from there.
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