The phrase "a technology that permits" is correct and usable in written English.
You can use it when describing a technology that allows or enables a specific action or function.
Example: "The new software is a technology that permits users to collaborate in real-time from different locations."
Alternatives: "a technology that allows" or "a technology that enables".
This paper presents a technology that permits the production of high quality recycled sand.
Peptide-stabilised nanoemulsions have recently been developed into a technology that permits the engineering of advanced surface functionality, independent of emulsification.
The intelligent test and measurement system (ITMS) developed by UPM and CIEMAT is a technology that permits implementation of a scalable data acquisition and processing system based on PXI or CompactPCI hardware.
We used Affymetrix Human Exon 1.0 ST arrays, a technology that permits a comprehensive and unbiased coverage of the whole transcriptome.
Photodiagnostic techniques such as HAL detection of occult ovarian cancer tumours provide a platform technology that permits minimally intrusive investigation, and could allow detection by endoscopy and eventually elimination of ovarian cancer cells at their earliest stages.
A Personal Response System (PRS) is a form of technology that permits an audience to reply to questions or statements individually by selecting an answer on a hand-held wireless transmitter.
A Personal Response System (PRS) or voting system is a form of technology that permits an audience to reply to questions or statements individually.
MDVM is an emerging new technology that permits single living cells to be labeled with multiple probes whose fluorescence is responsive to specific cellular parameters of interest.
We conclude that ChR2 is a genetically based photostimulation technology that permits analysis of neural circuits with high spatial and temporal resolution in transgenic mammals.
Alas, it will become ever easier to pursue the manifest destiny of miniaturization, given the growing power of the integrated circuit -- the technology that permits a single computer chip to perform multiple functions.
However, there is no current technology that permits a functional evaluation of these cellular components in microgravity.
