The phrase "again push for" is correct and usable in written English.
It can be used when you want to indicate that someone is advocating for something once more or reiterating a previous request or demand.
Example: "The committee will again push for increased funding in the upcoming budget meeting."
Alternatives: "reiterate the call for" or "renew the push for".
On Monday, Mr. Patrick deflected questions about whether he would again push for casinos with Mr. DiMasi gone.
But Hunt said that if inflation remained the same next year, then the Tories would again push for the BBC not to take the rise.
It was still dark outside when hundreds of workers gathered in Brooklyn on Tuesday morning to once again push for a federally mandated minimum wage of $15 an hour.
Last week, their leader, Vellupillai Prabhakaran, said that the minority Tamils were willing to accept "substantial regional autonomy," although he also indicated that if such autonomy were not forthcoming, the Tigers would again push for secession and an independent state.
In a visit to the University of Nevada, Las Vegas, on Thursday, White House officials said, Mr. Obama will again push for Congressional action to stop the interest rate on certain federal student loans from doubling to 6.8 percent on July 1, as is now scheduled.
They could again push for what the deficit panel failed to get: spending cuts and revenues that would be exchanged for all of the automatic cuts that hit a broad swath of government, including Medicare, not simply the part that hits the Pentagon.
Now, Clarke has once again pushed for sex scenes to be made "more subtle".
In 1997, lawmakers again pushed for a patients' bill of rights.
Then, after the collapse of Enron, lawmakers again pushed for the information.
Mr. Sarkozy again pushed for a "new world international monetary order" but praised Mr. Obama, saying "there's a lot of trust" despite their differences.
