The phrase "allow consideration" is correct and usable in written English.
It can be used in contexts where you are granting permission for something to be thought about or evaluated.
Example: "We must allow consideration of all proposals before making a final decision."
Alternatives: "permit evaluation" or "grant review".
After considerable discussion among the reviewers, a decision was made to allow consideration of a revised manuscript that fully addresses the main concerns.
Standard and empirical copulas were generated to allow consideration of interdependencies between various marginal distributions.
Debate has also been interrupted to allow consideration of a proposal to cut taxes and other legislation.
The second is an extension of the design earthquake approach to allow consideration of two levels of design earthquake.
Internet Gambling: Vote to suspend the rules of the House and allow consideration of a bill that would ban most forms of gambling on the Internet.
The nine Democrats who support estate tax repeal urged Mr. Lott tonight to allow consideration of the Democratic alternative as well as other Democratic amendments.
A hypothetical decision overturning Grutter might forbid direct consideration of those factors but continue to allow consideration of, say, economic hardship or knowledge of a second language.
The phenomenological approach to fatigue crack propagation through Paris-like models does not allow consideration of the influence of all the variables.
On one hand, they must allow consideration of a wide range of amendments, particularly from Republicans, to make good on their promise of a full-throated debate.
Variety of particular solutions take advantage of the specific expertise of the involved partners and allow consideration of various future applications.
SPHERES (available at neuralengr.com/spheres) is a stand-alone GUI application that allow consideration of arbitrary montages on a concentric sphere model by leveraging an analytical solution.
