If you have a PC with an HDMI output, then connect this via HDMI to your TV and see what refresh rates are reported to be supported. If you don't see 25 or 50Hz options then your TV is likely to be incompatible with European frame/field rates.
If that is the case you won't be able to use the vast majority of European cable, satellite and OTA receivers, as they won't output a 60Hz signal when receiving a 50Hz source. Some satellite receivers (not always easy to use with Pay-TV - though in some countries like the UK and Germany there are strong free-to-air satellite platforms) will convert 50Hz signals to 60Hz, and you can buy converters that will convert a 50Hz source to 60Hz. The quality is pretty awful though. If you care enough about picture quality to watch HDTV and watch Blu-rays at 24Hz rather than 60Hz then the terrible motion artefacts introduced by a frame rate conversion are likely to be very noticeable and not very acceptable. Products like Apple TV, PS3/4, Xbox 360 etc. will work as they can output a 60Hz signal. Because in Europe you will have a European IP address, you'll get the Netflix relevant to the country you are in (if there is one). Any Smart TV application in your TV may well be limited, or not work at all if the content it is accessing is geo-restricted by IP address. European Smart TVs often load the relevant apps for the country they are in based on their IP address (I took a "Smart" Blu-ray player from the UK to Sweden - albeit virtually - did a factory reset, and the UK specific apps were uninstalled and the Swedish apps installed instead. Which was quite useful.)
If you see 25 and 50Hz refresh rates then great news, your set is likely to work with European sources.
However if you buy a TV in Europe, it is guaranteed to work in the US with US frame rates, as European licensing means that all sets sold with the "HD Ready"/"HD Ready 1080p" or "HDTV" logos on them have to support both 50 and 60Hz refresh rates (and just as in the US, many support 24Hz also) All of my TVs bought in Europe include PAL and NTSC composite compatibility, HDMI 480i/p at 60Hz, 576i/p at 50Hz, 720p at 50/60Hz, 1080i at 50/60Hz and 1080p at 50/60Hz. Most also support 1080p at 24Hz. This means I can watch US and European DVDs, Blu-rays, play PS3/4 games at 60Hz and watch European SD and HDTV at 50Hz. Buying a set in Europe and taking it back to the US is a much safer thing to do than buy a US TV and bring it to Europe.
The one thing that won't work either way is the tuner. Europe uses DVB-T/T2 OTA and DVB-C for cable. The US uses ATSC 8VSB for OTA and ASTC QAM for cable. There are very few (if any) sets with tuners that support all of these.