You should qualify 'inability'. I would have thought that 'inability to change employers'. applies to millions of people particularly older ones where if they are sacked the chance of getting another job may be non-existent.
A somewhat more controversial 'inability' would be a visa where you must leave the country within 72 hours of your job terminating, although its impossible to sell your house in 72 hours and close the transaction without any preparation and the typical workplace hiring cycle is perhaps two months long. So technically you could quit or get fired and stay in country, if you had preexisting arrangements, but in practice...
This would be an interesting, strange, startup idea for a jobs website. I'll work for you part time, for 1/10th pay or minimum wage whichever is higher, although I donno when, and only until I get a real job. I suppose this is basically the temp industry, in a nutshell, unless a startup could do it much better, somehow.