The phrase "allowed to push up" is correct and usable in written English.
It can be used in contexts where permission is granted to increase or elevate something, whether literally or figuratively.
Example: "In this exercise, you are allowed to push up the weights as much as you can to build strength."
Alternatives: "permitted to raise" or "authorized to elevate".
With Motherwell posing no attacking threat, Emilio Izaguirre and Adam Matthews, then Lustig, were allowed to push high up the park and the trio were a constant threat.
Hasidic Jews in wheelchairs typically hire non-Jews to take them to synagogues on the Sabbath, because their family members are not allowed to push them or to carry them up and down stairs.
The government said that the deal allowed KeySpan to push up the price of electricity in New York, costing consumers about $300 million.
Eurotunnel has been banned from running ferries out of Dover after the Competition Commission said its dominance of the cross-Channel market would allow it to push up fares.
However, the analysts noted the national electricity guarantee risked further increasing the market power of the retailers, allowing them to push up prices even further.
A healthier picture, and one that the Bank of England would clearly like to see, would be one where rising demand is allowing retailers to push up prices to a greater extent".
Striker Gyasi Zardes was pushed into a wide role, allowing Donovan to push up through the midfield behind Keane.
A combined auction would also allow Microsoft to push up the minimum price it sets, independent of bidding, at as much as $10 a click.
It did this by only counting a view after a user watched a video for more than 3 seconds — allowing it to push up the figure by disregarding videos that were turned off immediately.
The collapse of Northern Rock and other small lenders has allowed the surviving mortgage-lenders to push up their margins.
