  We here present an experimentally feasible proposal for manipulating Cooper
pairs in degenerate Fermi gases trapped by an optical lattice. Upon introducing
an \textit{in situ} periodically driven field, the system may be described by
an effective time-independent Hamiltonian, in which the Cooper pairs, generated
by the bound molecule state in Feshbach resonance, host a nonzero
center-of-mass momentum. The system thus processes a crossover from a
Bardeen-Cooper-Schrieffer (BCS) superfluid phase to a Fulde-Ferrell (FF) one.
Furthermore, the magnitude and direction of the Cooper pairs in the synthetic
FF superfluids are both directly controllable via the periodically driven
field. Our proposal offers a reliable and feasible scenario for manipulating
the Cooper pairs in cold atoms, serving as a tunable as well as powerful
platform for quantum-emulating and exploring the FF superfluid phase.
