You can run 32-bit software on 64-bit Linux, mainly need to install 32-bit versions of any needed libraries.
This is not true for all distros. I run Slackware64 which is a pure 64-bit OS. It is possible to add multilib glibc and some 32-bit versions of common libraries to Slackware64 but only by using unofficial builds. I wonder if it's not time to make 64-bit the default choice given the benefits. 64-bit desktop computing is over 10 years old now and the OS's from the 32-bit era, even many of the free ones, are losing support. In any case if a 64-bit Linux version could be produced I would test it on my machine.