We present the results of surveying C i 3 P 1–3 P 0, 12CO J = 4 − 3, and 630 μm dust continuum emission for 36 nearby ultra/luminous infrared galaxies (U/LIRGs) using the Band 8 receiver mounted on the Atacama Compact Array of the Atacama Large Millimeter/submillimeter Array. We describe the survey, observations, data reduction, and results; the main results are as follows. (i) We confirmed that C i 3 P 1–3 P 0 has a linear relationship with both the 12CO J = 4 − 3 and 630 μm continuum. (ii) In NGC 6052 and NGC 7679, 12CO J = 4 − 3 was detected but C i 3 P 1–3 P 0 was not detected with a C i 3 P 1–3 P 0/12CO J = 4 − 3 ratio of ≲0.08. Two possible scenarios of weak C i 3 P 1–3 P 0 emission are C0-poor/CO-rich environments and an environment with an extremely large C i 3 P 1–3 P 0 missing flux. (iii) There is no clear evidence showing that galaxy mergers, AGNs, and dust temperatures control the ratios of C i 3 P 1–3 P 0/12CO J = 4 − 3 and \({L}_{{\rm{C}}\,{\rm\small{I}}(1-0)}^{{\prime} }/{L}_{630\mu {\rm{m}}}\). (iv) We compare our nearby U/LIRGs with high-z galaxies, such as galaxies on the star formation main sequence (MS) at z ∼ 1 and submillimeter galaxies (SMGs) at z = 2–4. We found that the mean value for the C i 3 P 1–3 P 0/12CO J = 4 − 3 ratio of U/LIRGs is similar to that of SMGs but smaller than that of galaxies on the MS.