West Ham boss David Moyes on Kurt Zouma and Tomas Soucek

[Kontol]

What does "on" mean in this sentence? Does it mean to speak?

West Ham boss David Moyes on Kurt Zouma and Tomas Soucek: "Kurt has started the season really well. I think he's thriving as captain and he's learned from some mistakes in football and life as well, and I think he's a better human being for it. He's doing a great job so far this season.

 

[SoothingDave]

Yes, more or less. "Speaking on the topic of."

 

[Kontol]

If I use "about", is it also correct?

 

[teechar]

Yes, it means speaking/writing about.

 

[Kontol]

Is it a short form prefered by journalist shorthand?
"On" is short for "speaking about".

 

[emsr2d2]

Is it a short form preferred by journalists? shorthand?
"On" is short for "speaking about".

The whole part "West Ham boss David Moyes on Kurt Zouma and Tomas Soucek" is a sort of journalistic shorthand. You'll notice, I'm sure, that there is no verb so it's not (grammatically) a complete sentence.
However, "on" is not short for "speaking about". In this context, it means "speaking/writing about" (as teechar already told you).