Is there a possibility to run these older apps on the new Mac in a virtual environment on the new Mac like Parallels, VMWare or another app?
Yes! The best solution for older macOS is UTM, which is actually just QEMU. I’ve used QEMU for old Intel virtual machines (via emulation), despite it is very slow. I'll try to impress on you how slow; imagine taking your El Capitan 10.11.6 virtual machine and run it on an original Intel Pentium from 1993. That is the level of performance you will experience.
A comparison of technologies:
Virtualization is emulation of hardware, such as Ethernet, Bluetooth, Disk controllers, and boot environments (EFI). The operating system has to be the same CPU architecture.
Emulation is virtualization of the CPU, which is required to run an Intel operating system on an ARM system like the Apple M1/M2. Virtualization of hardware may also be required.
The technology in QEMU to emulate began in 2009, the only other similar project is Bochs. QEMU is clearly the better performing of the two.
For an example of exactly how slow, in this article they ran Geekbench inside an Intel emulated system. The emulated Intel scored 68, but a native M1 scored 1730. That is a loss of 96% of the speed of native.