We investigate the quasiparticle interference (QPI) in Fe-based superconductors in both the s++wave and s±-wave superconducting states on the basis of the five-orbital model. In the octet model for cuprate superconductors with d x 2 −y 2 -wave state, the QPI signal due to the impurity scattering at q = ki − kj (E = |∆(ki)|, i = 1 ∼ 8) disappears when the gap functions at ki and kj have the same sign. However, we show that this extinction rule does not hold in Febased superconductors with fully-gapped s-wave state. The reason is that the resonance condition E = |∆(ki)| is not satisfied under the experimental condition for Fe-based superconductors. We perform the detailed numerical study of the QPI signal using the T -matrix approximation, and show that the experimentally observed QPI peak around q2 = (π, 0) can be explained on the basis of both the s++-wave and s±-wave states. Furthermore, we discuss the magnetic field dependence of the QPI by considering the Zeeman effect, and find that the field-induced suppression of the peak intensity around q2 can also be explained in terms of both the s++-wave and s±-wave states.