permit (v.)

early 15c., permitten, transitive, "allow (something) to be done, suffer or allow to be," from Old French permetre and directly from Latin permittere "let pass, let go, let loose; give up, hand over; let, allow, grant, permit," from per "through" (from PIE root *per- (1) "forward," hence "through") + mittere "let go, send" (see mission). Meaning "grant liberty or leave" is from 16c. Related: Permitted; permitting.

"written statement of permission or licence, written authority to do something," 1714, from permit (v.).