Magnetophoresis is the movement of magnetic nanoparticles under the guidance of magnetic field. Our goal is to perceive an unsteady magneto-nanofluid flow over a decelerating rotating sphere induced by an external magnetic field. In the flow analysis Brownian motion, thermophoresis and magnetopheresis effect are implemented in the model equations. At the boundary situation, zero-mass flux has been thought out. Utilizing similarity conversions we have converted the constitutive equations into ODEs and solve them numerically. The control of various factors on the flow properties has been staged through proper figures and tables. It is remarkably perceived that the magnetophoresis parameter increases the heat transmission ability of the fluid. Also, the magnetic-Prandtl number decreases the Nusselt number significantly. It is also professed that induced magnetic field elevates the heat transferability of the flow system and intensifies the velocity along the x-direction and diminishes the velocity along the z-direction.