After the confirmation
of the $Z_c(4330)^-$ at LHCb, tetraquarks became one of the main
highlights in physics. We briefly review tetraquark models since
the onset of QCD, the experimental tetraquarks candidates, and the
tetraquarks computed in lattice QCD. Then we detail Tetraquarks
potentials computed in Lattice QCD, including static tetraquarks flux
tubes, and dynamical-antistatic dynamical-antistatic
potentials.Finally we discuss some of the problems and solutions in
modeling tetraquarks with lattice QCD inspired potentials: flip-flop
potentials, non-orthogonality and the colour excited states,
unitarity, phase shifts and resonances.