  Inspired by the newly observed $\Xi_c^0$ states by the LHCb Collaboration, we
investigate the OZI-allowed two-body strong decays of the $\lambda$-mode $1P$
wave $\Xi'_c$ states within the chiral quark model. Our results indicate that:
(i) the newly observed states $\Xi_c(2923)^0$ and $\Xi_c(2939)^0$ are good
candidates of the $\lambda$-mode $1P$ wave $\Xi'_c$ states with the spin-parity
$J^P=3/2^-$, namely $|^4P_{\lambda}3/2^-\rangle$ and
$|^2P_{\lambda}3/2^-\rangle$, respectively. (ii) The another newly observed
state $\Xi_c(2965)^0$ mostly corresponds to the $\lambda$-mode $1P$-wave
$\Xi'_c$ state with the spin-parity $J^P=5/2^-$, namely
$|^4P_{\lambda}5/2^-\rangle$. (iii) For the two $\lambda$-mode $J^P=1/2^-$
mixed states, the $|P_{\lambda}~1/2^-\rangle_1$ is a narrow state with a width
of $\Gamma\sim15$ MeV and mainly decays into $\Xi'_c\pi$; while the
$|P_{\lambda}~1/2^-\rangle_2$ state has a width of $\Gamma\sim52$ MeV and
dominantly decays into $\Xi_c\pi$ and $\Lambda_cK$ channels. If the broad
structure around $2880$ MeV observed at LHCb arises from the new $\Xi^0_c$
state, this state is very likely to be the $|P_{\lambda}~1/2^-\rangle_2$ state.
