  Recently, the LHCb Collaboration reported their observation of the first two
fully open-flavor tetraquark states named $X_0(2900)$ and $X_1(2900)$ with
unknown parity. Inspired by the report, we consider all of possible four-quark
candidates of $X(2900)$ including molecular structure and diquark structure in
a chiral quark model with the help of Gaussian expansion method. Two different
structures coupling is also considered. To identify the genuine resonances,
real-scaling method (stabilization method) was employed. The results show that
no candidate of $X(2900)$ is founded in $00^+$ and $01^+$ $cs\bar{q}\bar{q}$
system below the threshold of $D^*\bar{K}^*$, while there are two states in the
$P$-wave excited $cs\bar{q}\bar{q}$ system, $D_1\bar{K}$ and $D_J\bar{K}$,
which could be candidates of $X(2900)$. In this way, we assign negative parity
to $X_1(2900)$, and $X_0(2900)$ maybe a resonance state above the threshold of
$D^*\bar{K}^*$, more calculation is needed.
