I use Fedora 64 bits on my workstation but I need 32 bits chroot of Debian. It is easy to do.
Create the chroot following the instructions from: http://blog.parahard.com/2013/03/creating-debian-chroot-inside-fedora.html
The first difference is that you need to add --arch=i386 to the debootstrap command.
Then for entering the chroot add linux32 as the first argument after sudo. Something like:
$ sudo linux32 chroot debian-wheezy
After that even uname -a will show 32 bits instead of 64. The linux32 tool is on the util-linux Fedora package.