Congratulations on your find! Do you have a picture of your okra that you could post in either the annuals or foliage gallery for us to see. I am a huge fan of variegated mutations.

The good news is that variegation does not seem to be recessive for the most part. Likely, you can get variegated offspring from this one plant. It is carried in the seed parent so using the pollen from the plant to fertilize green plants will not produce variegated plants. Okra is self-pollinating, but for the purposes of "hybrid" vigor, I would strip away the male flower parts, tape shut or bag what remains and then hand pollinate with a different Abelmoschus for vigor- another okra if you want an edible end-product, but an interspecific hybrid might be interesting too. If you want to preserve most of what is good about the type you are growing, but just add the variegation, you could use pollinators from the same seed strain with the tender fruit, but I would still recommend using a different plant for vigor, selecting the highest quality among the available stock. High flower count/fruit yield might be a consideration, particularly at first, but you may also want to consider foliage shape and size since the variegation is the exciting feature.
To insure that you have variegated offspring of a high quality, I would recommend crossing as many flowers as possible and saving ALL the seed. A quick googling seemed to suggest that okra seeds were viable for 5 years. So, the good news is you don't have to sow all of your seeds at once and, in fact, it would be risky to do so.
Just keep repeating this process with subsequent high quality variegates and eventually, hopefully, you will get nearly all variegated offspring.