I must disagree. Effect destruction works quite well on F.G.D.
For example, I was once dueling a dragon-use. He had F.G.D. out and attacked my Elemental Hero Phoenixguy. I only survived by using Elemental Charge, granting me enough life points to survive until the end of the turn. So I played Polymerization and summoned Elemental Hero Shining Phoenixguy. Then I activate Destruction of Destiny, moving its ATK up to 4000. He thinks I'm going to try and boost it up some more...but instead, I just played Smashing Ground and attacked directly.
The announcers called it "The most ironic victory they'd ever seen"
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For example, I was once dueling a dragon-use. He had F.G.D. out and attacked my Elemental Hero Phoenixguy. I only survived by using Elemental Charge, granting me enough life points to survive until the end of the turn. So I played Polymerization and summoned Elemental Hero Shining Phoenixguy. Then I activate Destruction of Destiny, moving its ATK up to 4000. He thinks I'm going to try and boost it up some more...but instead, I just played Smashing Ground and attacked directly.
The announcers called it "The most ironic victory they'd ever seen"