Genymotion heavily relies on your hardware, OS and drivers (for more details, please read the Genymotion requirements).
If they are not recent enough, regrettably we cannot guarantee the proper operation of Genymotion on your system.
The x86 architectures (32 bits) are now outdated and they can produce stability issues that wouldn't exist on current and modern architectures as x86_64 / amd64.
For that reason, there are no Genymotion Desktop 32bit Linux version.