The phrase "a considerable influence over" is correct and usable in written English.
It can be used when discussing the impact or effect that one person, group, or thing has on another.
Example: "The new policy had a considerable influence over the company's decision-making process."
Alternatives: "a significant impact on" or "a major effect on".
But although both played a considerable influence over their presidential husbands and enjoyed considerable support from Argentina's poor working communities, the comparisons are limited.
There had been allegations by the former Vitesse owner, Merab Jordania, that Chelsea exerted a considerable influence over the Dutch club's approach, but the KNVB investigation found no written agreement between the clubs with all loan moves above board.
In the Sāmānid period, Ismāʿīlī missionaries gained a considerable influence over the intellectual elite of the eastern Iranian provinces, taking advantage of the new opportunities offered to them by the rebirth of Persian as a written language.
Also the Brethren's scientific doctrines exerted a considerable influence over 13th-century Jewish authors.
The coalition-builders have about two weeks to forge alliances and senior cardinals who may themselves have little chance of becoming pope can still exert a considerable influence over the others.
Within this group, 45% have a family member as chief executive (Amazon yes, Microsoft no) and in the rest, the family has a considerable influence over the selection of an outsider for the head job.
But a manager with considerable influence over an outsider — say, a captive supplier — can exercise leadership as well as direct control, while one whose own employees begin to act as free agents may have to relate to them as a linker more than a leader (as the chief of any clinical service in a hospital can tell you).
Although the findings of scholars who have written on the subject are not conclusive, they generally reinforce the common-sense judgment, and the experience of most of us, that a teacher exerts considerable influence over the development of fundamental social attitudes in students, including those attitudes which in the broadest sense of the term may be viewed as political.
However, you hold a wild card of considerable influence over the outcome.
The tube PPP is one of the most controversial legacies of Gordon Brown's tenure as chancellor due to a complex structure that lets the private sector have considerable influence over a major public asset.
Working in disparate places foundations, government bureaus, and universities they formed an intellectual network with considerable influence over the nation's approach to poverty.
