In this study, we experimentally examine the motion of a drop rising through immiscible liquids in countercurrent linear shear flows. We especially focus on the effects of the physical properties, the shear rate scale, and the viscosity ratio on the rising motion of the drop. We show that the motion of a freely rising drop is very sensitive to not only the physical properties of the liquids and the shear rate but also the viscosity ratio. Our experiments reveal that the transversely migrating drop can be made to move to the right or left depending on the influence of these parameters.