The scattergun approach fails abroad even more reliably than at home, so strategy matters. First, target employers who can actually hire you: multinationals, companies on published sponsor lists, and sectors with skill shortages. A hundred applications to firms that never sponsor is wasted effort.
Second, translate yourself for the local market. Adapt your CV to the local format and expected length, explain what your qualifications are equivalent to, and address the visa question confidently and briefly rather than hoping nobody notices. Third, lean on networks; a large share of jobs everywhere are filled through referrals, and this is doubly true for candidates with paperwork complications. Professional platforms, alumni groups, diaspora associations, and industry meetups all convert to interviews far better than job boards.
Finally, be present if you can. Applications from inside the country, or with a clear arrival date, are taken more seriously. And build in patience; landing the first role abroad typically takes months, so plan finances accordingly.