This has been asked several times but I haven't found an answer that actually solves the problem.
Take any of the user contributed PCB antenna traces, such as
https://easyeda.com/component/c865dcf6cba443268e2577636385f1f9
There does not seem to be any way to actually run a trace from the pads to a component without selecting "ignore" from the "routing conflict" menu:
Without that, EasyEDA refuses to connect a trace to the pad:
I think EasyEDA needs a way to mark a trace or a solid region as a kind of "black box", to be ignored by the router as a connection.
Another problem with the trace antennas is that you can't make a pad without exposing copper, except by using a "hack" and use a negative solder/paste mask extension value. You don't usually need a solder pad for your trace antenna, you just need a pad so that you can route a trace to it to get rid of DRCs.
The antenna in the example also seems to generate a bunch of DRC errors for clearance and track width and I don't know why. I think it's the solder mask or the pad that is placed on top of the antenna trace.
Brand new interactions and interfaces. 
Easy to use and quick to get started. 
I'm working on a way to do this but have hit a snag.
More if I can work round it.
In the meanwhile, the antenna you have used as an example has a hidden problem. The original creator has placed a 0.1 mil wide top layer track all the way round it, presumably as a guideline for drawing the copper region.
This immediately causes a number of DRC errors.
You can delete it by temporarily cutting the rest of the top layer copper, doing ctrl+A then delete. Then paste the cut copper back as one group.
But that only removes some DRC errors, not all.