I haven’t made a study of this, but off the top of my head I’d say the terms most in use would be “was made redundant”, then “was laid off” and then “was sacked” or “got the sack”. Those last two might carry perjorative overtones (that you’d been dismissed for incompetence or for disciplinary reasons rather than because your company needed to save money) but it might also be said by a person who was bitter about the decision whatever the reason they’d been given.
Now that I think about it, I don’t think I’ve ever heard a British person claiming to have “been fired” but everybody would know what they meant if they did say it and I don’t think it would sound foreign or particularly odd. It would carry the same perjorative overtones as “sacked” though.
I suppose there would be a parallel with the use of “sacked” in American Football as opposed to being substituted out of the game – neither is something you wanted to happen but only one is likely to be your fault?