The phrase "impose itself on" is correct and can be used in written English.
This phrase is typically used to describe the actions of an entity that manifests in a forceful way. For example: "The oppressive heat of the summer seemed to impose itself on the city."
It also had to be flexible to respond to the ever-changing nature of his business; one that facilitated collaboration and one that did not impose itself on their open and transparent culture".
Whereas the ictal burden of episodic headache is typically present during only one or two days in every month, interictal burden can impose itself on all of the other days.
I wanted some place small that would not impose itself on nature.
"It doesn't impose itself on the facts, but rather adapts to reality.
The reality of a Palestinian state, he has said, "will impose itself on the world".
"It is a matter of a minority group trying to impose itself on a majority".
He had the worst record of any France coach after a year in the job, but his desire to build an athletic side that "imposes itself on its opponents" has gradually reaped results.
Being a physical medium, one that imposes itself on the viewer and its surrounding environment, motion is always an unspoken aspect of sculpture, but kinetic sculpture brings that element to the forefront and changes the dynamic between viewer and object.
President Jacob Zuma's personal Xanadu, complete with stately pleasure-dome, has imposed itself on the landscape of one of South Africa's poorest areas, Nkandla, in KwaZulu-Natal.
When the euro was formally adopted on New Year's Eve 1999, Jacques Santer, then president of the European Commission, declared that "in one single blow, Europe is imposing itself on the world's financial and monetary map".
Politics imposed itself on colloquial poetry".
