"push for approval" is a correct and usable phrase in written English.
It means to actively try to obtain approval or support for something. Example: The company's CEO launched a new marketing campaign and is now pushing for approval from the board of directors.
Officials have already begun lobbying local leaders to push for approval of the deal.
Democrats in the Senate decided last month that they wouldn't push for approval of a climate bill.
Mr. Cameron's push for approval of a same-sex marriage bill this year has been a touchstone for many of his Conservative detractors.
Chinese media outlets have reported that Bank of China could push for approval of its plan as early as March, when it convenes its annual shareholder meeting.
Mr. Fox has already signaled that he may use the first months of his administration to push for approval of some of his most controversial proposals.
Officials of the business federation and the farm bureau said that in the event full repeal failed, they might push for approval of the Democratic plan.
Some analysts suggested that Mr. Sellers might have a conflict of interest in pushing for approval.
The move marks a shift for TransCanada which has spent seven years relentlessly pushing for approval of the project.
Although advocates of abortion rights have been pushing for approval of mifepristone for years, it is not clear how many American women will choose it.
The Bush administration is now pushing for approval in Congress, where a vote is not expected until at least the fall and the outcome is far from certain.
The chairman of the Board of Assessors, Charles J. O'Shea, an elected Republican, is pushing for approval of the proposed tax rolls.
