[Nightedge]

Could I use piece and on?

-His statement would be considered a ___ of insult ___ these people.

[susan53]

No. An insult is an insult. You can't divide it into pieces. And the preposition which follows is to meaning directed at. Some examples :

Lack of action by police over Birmingham pub bombings is an insult to the people of the city

Today's ANC motion is an insult to the people of KwaZulu-Natal.

In this case, as you have a passive verb you could also let the preposition depend on that and use by, but of course the meaning changes - ie you are saying that the people consider it an insult:

They were known as afrancesados, a term considered an insult by the people ...