  We study the dynamic generation of persistent current by phase imprinting
fermionic atoms in a ring geometry. Mediated by the pairing interaction, the
Fermi condensate dynamically acquires a quantized current by developing
azimuthal phase slips, as well as density and pairing-order-parameter
depletions. Resorting to the Bogolioubov-de Gennes formalism, we investigate
the time evolution of the transferred total angular momentum and the quantized
superfluid current throughout the phase-imprinting process. This enables a
detailed analysis of the impact of interaction, as well as different initial
pairing states, on the superflow formation. In particular, we show that, as the
condensate is tuned toward the Bose-Einstein-condensate side of the Feshbach
resonance, the azimuthal density distribution becomes less susceptible to the
phase imprinting potential, leading to smaller quantized current under the same
imprinting parameters. Our results offer microscopic insights into the dynamic
development of superflow in the phase-imprinting process, and are helpful for
the ongoing experimental effort.
