Depends on what's causing the elevation in estrogen, metabolic syndrome/obesity is the number one cause of elevated estrogen. The treatment for metabolic syndrome is TRT and more importantly, lifestyle changes.
My estrogen is elevated on TRT and I feel great because I've addressed the cause of my low-T.
Most of the symptoms men experience on TRT are the body unable to cope with high testosterone, which is why the body is down regulating your natural production in the first place.
Normal ranges for estrogen (20-40 pg/mL) were derived from men with Total T <500 and not on hormone replacement therapy.
If your Total T and Free T levels are at the top end of the ranges on TRT, you can expect estrogen to be as well.