Ask CJ: an immigration question

To contact us Click HERE
I recently received an e-mail from AS, who got a Ph.D. in chemistry in the US* and did a postdoc here as well, but through happenstance, is back in their home country in Eastern Europe. They're looking for ways to find industry jobs in the US or other countries. They have the following questions:

• Is there and difference in the difficulty level of finding employment for foreigners between US and Canada? 
• Alternatively, I can try to find another postdoc (which is something I am also working on). However, due to certain visa policies I can not return on the same academic visa I had previously. Do you happen to know if new or returning postdocs are admitted back in US on a temporary work visa? 

I confess to not being an science immigration expert, but I am sure there are some amongst my readers. It is my broad understanding that Canadian immigration is more biased towards skills-based (or $$-based) policies than those of the US, but I confess I don't really understand the issues.

Please comment, if you have expertise.

*At a very good department, not that it matters.