Ricmar, you have to install parallels, then run parallels and install Windows as a new virtual machine under Parallels. Then boot that Windows virtual machine and install Quicken on the virtual machine.
Chrome OS and VMWare should have nothing to do with that process. If you already have VMWare and it works, you can also install Windows under VMWare, then boot it there and install into that virtual machine the Quicken program. VMWare and Parallels do the exact same thing--they allow you to create a virtual Windows computer that runs as an application on the Mac.
Demapples talked about Convergence mode, which is one way to run Parallels. However, for simplicity at this point, don't do that until you get Quicken installed and running. Just run Windows in the default mode, where you have a window on the Mac that is the Windows desktop.