Scott,
From the LA city code on their website:

Quote

SEC. 93.0905. GROUNDING.

(Former Sec. 93.0905 Repealed by Ord. No. 164,136, Eff. 12/4/88.) (Former Sec. 93.0907. Redesignated by Ord. No. 162,834, Eff. 10/26/87.) (Including N.E.C. Section 350-5 as amended herein.)

Grounding. Flexible metal conduit shall be permitted as a grounding means where both the conduit and the fittings are approved for grounding. Where an equipment bonding jumper is required around flexible metal conduit, it shall be installed in accordance with Section 250-79.

EXCEPTION NO. 1. Flexible metal conduit shall be permitted as a grounding means if the total length in any ground return path is 6 feet (1.83m) or less, the conduit is terminated in fittings approved for grounding, and the circuit conductors contained therein are protected by overcurrent devices rated 20 amperes or less.

EXCEPTION NO. 2. Where flexible metal conduit and liquidtight flexible metal conduit are used in combination with each other, the total length of the combined ground return path shall not exceed 6 feet (1.83m).

LA City Electrical Codes

*Warning! above link is a LARGE document.. May cause your computer to have gastric distress! [Linked Image]

-Randy

PS... Are most FMC fitting "approved for grounding?"