  The recent observation by the D$\O$ collaboration of the first tetraquark
candidate with four different quark flavors $(u, d, s$ and $ b)$ in the
$B^0_s\pi^{\pm}$ channel having a narrow structure, has still not been
confirmed by other collaborations. Further independent experiments are required
either to confirm the $X(5568)$ state or to set limits on its production.
Though quantum numbers are not exactly clear, the results existing in the
literature indicate that it is probably an axial-vector or scalar state
candidate. In this study, mass and pole residue of the $X(5568)$ resonance
assuming as a tightly bound diquark, with spin-parity both $J^{P}=1^{+}$ or
$J^{PC}=0^{++}$ are calculated using two-point Thermal SVZ sum rules technique
by including condensates up to dimension six. Moreover, its partner in the
charm sector is also discussed. Investigations defining the thermal properties
of $X(5568)$ and its charmed partner may provide valuable hints and information
for the upcoming experiments such as CMS, LHCb and PANDA.
