I just got a hint from a friend, who is working in a print factory. He told me, that at home he had switched back to Windows, because until now, Linux has no professional color workflow integrated.
Actual the only way is to use DisplayCAL for profiling the display and buying a license for TurboPrint, when profiling a color printer.
He advised me, after installation of TurboPrint (full functional 30 days test version) and connecting to the printer, I should first create a basic setting for my preferred paper and print quality. After that, I could print any testchart with these basic settings and then measure / profile it by a spectro-photometer like 1one-pro etc.
Then I could generate the ICC profile by ArgylCMS and bind it to the basic paper settings in TurboPrint. After that, I have a printer driver, which is created by TurboPrint and not by Canon or by CUPS driverless. But CUPS will be used as print server only, managing then TurboPrint printer.
As TurboPrint is available in AUR, I have installed it from there. But this seems to be a mistake, because this is not the latest release and also it immediately starts, as if the 30 days test were already passed! Further the print daemon (systemd) is not running and cannot be started.
Til now, I can see, that I am on the right way. But I should install the TurboPrint software by downloading it from their website. And before that, I should carefully remove all installation residuals from the AUR version.
I will keep you informed here. But if someone wants to give me some hints, which will help me to get the task done more easily, I would be happy about!
Edit: It seems, that I am not asking here but writing down my experiences, how I manage to get color right in my printer. 
I found, that the TurboPrint version from AUR is faulty and further it is clearly an outdated version of TurboPrint. While installation it fetches the version 2.44 from TurboPrint servers. And you cannot test all the features, because after installation, you are in a demo version and not in a fully functional 30 days test version.
The only usable, understandable and realtively short explanation, how you can install and use TurboPrint and then ArgyCMS in order to get to your ICC file for your printer, can be found on the website of https://www.russellcottrell.com.
Actually I have printed successfully my profiling charts and will measure it. Everything seems to work now.
When I have enough experiences with all this, I will publish a tutorial here.