1. They absolutely can and do, but many sell themselves short.
2. Big caveat: There are absolutely many conservative managers who insist on speaking perfect German / not switching the team language because of the new junior dev, so there will definitely be job openings where immigrants are discriminated against at those big corporates, but IME that doesn't apply to the companies as a whole.
The reverse is obviously also true: If you want to work in a young, international, open culture, you might prefer startups, but most of them offer lower salaries.
they can of course (and are), but there are still a lot of underpaid jobs (compared to cost of lving) out there (and these companies are not going out business strangely, so they seem to find labor). Basically for a german it doesn't make a lot of sense to take a job, where you will be having the life of a barkeeper in Berlin (e.g. hustling through at <50k€) - and frankly, these jobs exist and they find employees, so imho this is mainly people "wanting to live in Germany" (at whatever the social cost)
2. Big caveat: There are absolutely many conservative managers who insist on speaking perfect German / not switching the team language because of the new junior dev, so there will definitely be job openings where immigrants are discriminated against at those big corporates, but IME that doesn't apply to the companies as a whole.
The reverse is obviously also true: If you want to work in a young, international, open culture, you might prefer startups, but most of them offer lower salaries.