  We study a cosmological model based on the holographic principle that allows
an interaction between dark energy and dark matter with a Hubble infrared
cutoff. We adopt an agnostic point of view with respect to the form of the
interaction between these dark components by using redshift parameterizations
of the dark energy equation of state (DE EoS). Following this approach, we
obtain an analytical expression of the Hubble parameter and we test it with
four different parameterizations of the DE EoS using currently Pantheon
supernovae, Cosmic Chronometers and Galaxy Clustering data sets. Our analyses
show that the considered parameterizations on this agnostic proposal allow a
late accelerated cosmic expansion in comparison to the results from previous
works where specific forms of the interaction are employed but fail to explain
this behaviour. Furthermore, we find that our proposal solves the so-called
coincidence problem in Cosmology and in this direction shed some light on the
problem of the Hubble tension.
