The american pilot market is closed to externals due to rigid handling of the green card, while Europe rsp. European Community (EC) is open to everyone, and even within the EU there are sufficient numbers of pilots from Eastern Europe (most of the countries are meanwhile in the EC) helping filling gaps, if there are any.
There was never any "pilot shortage" nor will there be any in the future in Europe. Discussion about the effect, flying has on climate (so called "fly shame", thanks to "Greta" and her sponsors) and sharply rising prices for flights will rather adversely affect aviation in Europe and thus labour market.