We have estimated centrality variation of chemical freeze-out parameters from yield data at midrapidity of
π
±
,
K
±
and
p
,
p
¯
for collision energies of RHIC (Relativistic Heavy Ion Collider), Beam Energy Scan (RHIC-BES) program, and LHC (Large Hadron Collider). We have considered a simple hadron resonance gas model and employed a formalism involving conserved charges (
B
,
Q
,
S
) of QCD for parameterization. Along with temperature and three chemical potentials (
T
,
μ
B
,
μ
Q
,
μ
S
), a strangeness undersaturation factor (
γ
S
) has been used to incorporate the partial equilibration in the strange sector. Our obtained freeze-out temperature does not vary much with centrality, whereas chemical potentials and
γ
S
seem to have a significant dependence. The strange hadrons are found to deviate from a complete chemical equilibrium at freeze-out at the peripheral collisions. This deviation appears to be more prominent as the collision energy decreases at lower RHIC-BES energies. We have also shown that this departure from equilibrium reduces towards central collisions, and strange particle equilibration may happen after a threshold number of participants in
A
-
A
collision.