The tube generally doesn't care what res you run it at. It has no idea. However, the dot pitch and effective bandwidth of the system (which depends on both the tube and the attached electronics) may give you limited benefit at super high resolutions like 1024x768.
What does matter is that you have to match the yoke to what the chassis expects. Failing to do so will result in bad geometry or even taking out the HOT on the chassis. Basically, take your candidate chassis, look up (or measure from the yoke that you're taking off of it) the expected yoke impedance (resistance and, more importantly, inductance), and check to see if it matches what you've got on your new tube/yoke. If it's close, you can go ahead and perform the swap. If it's not, you may do better to find a different tube/yoke, but you can try a yoke swap.
There are also a couple different CRT sockets. They have different numbers of pins, so you can easily tell if it's compatible. This shouldn't be a problem if your tube and chassis are both remotely modern.