ConEmu build: 190108 [64] [Preview]
OS version: Windows Windows 10 version 1703 (x64)
Used shell version (Far Manager, git-bash, cmd, powershell, cygwin, whatever): ???
I was wondering why we cannot change the keyboard shortcut to navigate to next/previous tab? When I open the settings, it says (may be disabled). I tried searching the Internet to find out why that's the case, but I didn't find anything.

This is hardcoded because it highly depends on options and current keyboard state.
And yes, it may be disabled. Look at the Tab bar settings page.
So, does it mean that I cannot change it to use my own shortcut?
@farzadmf : use AutoHotkey to remap your key-combo shortcuts per/application!
Somehow like this (not tested):
#IfWinActive ahk_class VirtualConsoleClass
F1:: sendinput ^+{tab}
F2:: sendinput ^{tab}
#ifWinActive
Thank you @m0n , great idea! AutoHotKey wasn't in my mind at all :)
It's better to use GuiMacro
Thank you @Maximus5 , I didn't know about them. I'll need to go through the docs to see how to do it
Hi @Maximus5 , so I tried to set up a shortcut and use a GUI Macro:

But, when I press my shortcut key, I see the tab being changed in ConEmu, but for some reason, the focus isn't changed to that (I mean I only see the change in the tab bar)
Uncheck "Settings/Tab bar/Lazy tab switch"!
Thank you @m0n , that does the trick :)
Closing this as using GUI Macros resolves my issue
Most helpful comment
Uncheck "Settings/Tab bar/Lazy tab switch"!