  Recently, the LHCb Collaboration has measured the processes
$B^0\to\bar{D}^0D_s^+\pi^-$ and $B^+\to\bar{D}^0D_s^+\pi^+$, where the
$D_s^+\pi^-$ and $D_s^+\pi^+$ invariant mass distributions show the significant
signals of two new open-flavor tetraquark states $T_{c\bar{s}}(2900)^0$ and
$T_{c\bar{s}}(2900)^{++}$, as the two of the isospin triplet. In this work, we
have investigated the process $\Lambda_b\to K^0D^0\Lambda$ by taking into
account the intermediate nucleon resonance $N^*(1535)$ and the tetraquark state
$T_{c\bar{s}}(2900)^0$, which could be dynamically generated by the
interactions of the $D^*K^*/D^*_s\rho$ and the pseoduscalar mesons-octet
baryons, respectively. Our results show that a clear peak of the open-flavor
tetraquark $T_{c\bar{s}}(2900)$ may appear in the $K^0D^0$ invariant mass
distribution of the process $\Lambda_b\to K^0D^0\Lambda$, which could be tested
by future experiments.
