While I believe it is not possible to export Normalization Rules in Flex UI. However, we may take it up as a good idea for having it in New UI (made available from 9.1.04).
Let me up-vote it.
Could you please share the link for the Idea...I will up-vote it.
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It seems we can export the records from BMC.CORE.CONFIG:BMC_NormalizationRule form with qualification as 'Feature Id' = "com.bmc.ne.feature.VersionNormalizationFeature".