  Undoped iron superconductors accommodate $n=6$ electrons in five d-orbitals.
Experimental and theoretical evidence shows that the strength of correlations
increases with hole-doping, as the electronic filling approaches half-filling
with $n=5$ electrons. This evidence delineates a scenario in which the parent
compound of iron superconductors is the half-filled system, in analogy to
cuprate superconductors. In cuprates the superconductivity can be induced upon
electron or hole doping. In this work we propose to search for high-Tc
superconductivity and strong correlations in chromium pnictides and
chalcogenides with $n<5$ electrons. By means of ab-initio, slave spin and
multi-orbital RPA calculations we analyse the strength of the correlations and
the superconducting and magnetic instabilities in these systems with main focus
on LaCrAsO. We find that electron-doped LaCrAsO is a strongly correlated system
with competing magnetic interactions, being $(\pi,\pi)$ antiferromagnetism and
nodal d-wave pairing the most plausible magnetic and superconducting
instabilities, respectively.
