If your intel sound card does not work after updating Linux kernel you can revert back the kernel.
In my case, the sound card stopped working after installation the kernel linux-image-5.3.0-7642-generic
These steps can help you to revert back the kernel
0) check your current kernel version
1) check the list of available kernels
So, my previous kernel is linux-image-5.3.0-7625-generic
2) let’s revert back the previous kernel
sudo kernelstub -v -o "quiet loglevel=0 systemd.show_status=false splash" -k /boot/vmlinuz-5.3.0-7625-generic -i /boot/initrd.img-5.3.0-7625-generic
3) chek your kernel version again
It should be your previous kernel.
After that, the sound card should work.
I hope this problem will be fixed in the next kernel version.