SDSS J083942.11+380526.3 is an Iron Low-ionization Broad Absorption Line (FeLoBAL) quasar at z = 2.3, and Aoki et al. (2006) recently found the presence of an H alpha absorption line in the broad H alpha emission line. Motivated by an idea that this quasar may be a huge molecular gas reservoir in the early phase of quasar evolution, we made CO(J=3-2) observations of it using the Nobeyama Millimeter Array. No significant CO emission was detected; although an emission-like feature (2.5 sigma) was

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... seen close ( 2") to the quasar, we regard it as a noise. The obtained 3 sigma upper limit on the CO luminosity is L'_ CO(J=3-2) = 4.5 × 10^10 K km/s pc^2, which corresponds to M( H_2) = 3.6 times 10^10 M_ if we adopt the CO-to-H_2 conversion factor of 0.8 M_ (K km/s pc^2)^-1. This upper limit is comparable to L'_ CO(J=3-2) (and thus the molecular gas mass) detected in quasars and BAL quasars at z=1-3, and no sign of the presence of the huge amount of molecular gas in this FeLoBAL quasar was obtained.