Take My Breath Away might have been the theme song in Top Gun, but these days the F14A is unlikely to take anyone's breath away in a dogfight. And anyone going up against a modern fighter in an F-14A, really is going to be on a Highway to the Danger Zone.
The F-14 looks impressive in Top Gun, but what you don't see in that movie is that all that turning and burning they do (using the afterburners) uses fuel up so fast that the thing basically has to land minutes later, or the pilots would find themselves swimming home. And it would certainly have to use those 'burners a lot to stay in a turn with a modern fighter plane.
Modern fighter jets use far more efficient supercruise technology to enable them to maintain high speeds with much less use of the afterburner. This also means that they have a smaller heat signature, making them far less likely to find a Sidewinder missile flying up their tailpipe. So in most cases, a modern fighter could win a dogfight against an F-14A by simply turning inside it and waiting for it to fall out of the sky with an empty gas tank.
And it can't rely on engaging stuff at long-range either:
The AIM-54 Phoenix missile which the F-14 carries is impressive on paper (100-plus nautical mile range), but we are basically talking about technology from the Vietnam War era here. Right before the US pulled out of Vietnam, the F-14A was on some carriers off the Vietnam coast (it really has been in service that long). This is why it has been retired from US Navy service, and in its last few years it was even relegated to the role of a bomber rather than a fighter - and that's the more modern variants than Iran has too.
The very old technology of the AIM-54 missile can be quite easily spoofed and jammed by even a basically-equipped aircraft and the far more capable gate-stealing capabilities of modern fighter ECM suites would eat the F-14A's radar capabilities for breakfast. The truth is that the F14A would probably have a hard time shooting down a third-world country's training aircraft these days, let alone something like an F-16 or F-22.
The F14A was a prestige purchase for Iran in the 70s, but that's a long time ago in technology terms, unless you still think that a Spectrum ZX-81 computer would kick your Intel Core Duo's hyperthreading ass.
Chock