Would it be possible to take the train from munich to paris, or should I look for airline tickets?
Yeah I did there is a TGV Munich to Paris. Takes about 5 hours and makes a few stops Stuttgart Strasbourg and somewhere else I forget
Look at both means air versus train and pick whatever you prefer
Munich to Paris is just under six hours which is around most people's tipping point for train vs. air travel. I would consider the train more comfortable and involving less hassle and hanging around.
Does cost matter?