  We apply the newly developed NRQCD factorization formula to analyze the
exclusive production of the fully-charmed tetraquark $T_{4c}$ plus a hard
photon at $B$ factory. For simplicity, in this work we have concentrated on the
associated production of the $0^{++}$ and $2^{++}$ tetraquarks with a photon.
With some rough estimates about the size of the unknown nonperturbative NRQCD
matrix elements, we predict the production rates of these types of exclusive
channels at $\sqrt{s}=10.6$ GeV and also assess their observation prospect at
{\tt Belle 2} experiment.
