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Please clarify the use of the preposition `on' in the sentence below. Is it necessary to use `on'.

There is a football match on this Friday.

Thank you.
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In this sentence 'on' may mean
active or happening, due to take place as planned - happening this friday.
"Is the match on?" "Yes, it is on this friday."
or it may be expessing a relationship in time "When is the match?" "On (this) friday".
Comments  
It would be correct to say, "There is a football match on Friday," meaning that a football match will occur on Friday.
It would be correct to say, "There is a football match this Friday," meaning the same thing. You don't need and should not use the "on."
"There is a football match on this Friday" would only be correct if you are talking about, for example, television programming, in which case it would be equivalent to "There is a football match on TV this Friday," but with "TV" dropped, since it could be assumed from the context.