How to get on the radar of recruiters in the country of my choice (rather than my country of residence)?
Background information:
I am an Electrical Engineer, working in software development (Embedded Automotive). I am German, and for the first few years of my career, I worked in Germany as a SW developer for a big corporation. Almost 2 years ago, that company offered me the chance to work abroad in Eastern Europe, in order to support opening a new Machine Learning office from scratch. That means: A lot of hiring, building up a team, getting people started, connected and motivated, establishing processes, building up the office, and so on. I am impressed by the talents we found here. Today I am leading a group of 20 Machine Learning software engineers (disciplinary and technical leadership). I had to put in a lot of effort in the beginning, but now the structure is mostly settled (with 2 technical team leads below me) and things work smoothly (mostly). Building up this group was the most meaningful thing I ever did in my career. I am extremely proud to see how well my team works together, and what kind of good feedback we get from various partners in various countries.
Doing this expat assignment is a great chance. I learned a lot about myself, I developed myself in many aspects, and met a bunch of wonderful people both at work and in my private life. Things are fine, but my job here is mostly done.
I could stay longer, enjoy working with my team, and gain more management experience on paper, i.e., more years. Or, I could take the next challenge in another country. I like the country I live in, but for me it is not a place to settle down. Plus, I think it would be beneficial for me to gain further job experience at another employer.
I am interested in the US, Canada, Australia and New Zealand. The problem is: How to get an interesting job there?
In many cases, SW engineering management positions are not publicly advertised on job portals or company websites, but recruiting is done only with external head hunters. That's the case for our company currently, and I know that it is similar for other companies.
Therefore, I think it's essential to be "on the radar" of recruiters on LinkedIn.
While I still lived and worked in Germany, I got many messages from recruiters, mostly Germans. A lot of trash, but also some interesting jobs which I would not have found myself. The moment I left Germany, this number decreased. I am barely contacted by German recruiters anymore.
Based on this, my assumption is that recruiters filter by country, when they are searching for candidates, or that LinkedIn's algorithms prefer local potential candidates. This makes a lot of sense, but it is bad for me in my special situation.
How can I make sure that recruiters become aware of me, when they want to fill a vacancy in country X, even though I don't live in country X?