Coquelin has become a key member of the Gunners' squad in recent months, having been drafted in from the wilderness following a short loan spell at Charlton Athletic.
The Frenchman has been at the heart of Arsenal's midfield as they have embarked on an eight-match winning run - closing the gap on leaders Chelsea to seven points - but reports continue to link the club with a potential summer move for Southampton midfielder Schneiderlin.
The Saints star has spoken of his desire to play in the Champions League on several ocassions but, while McLintock believes Schneiderlin "would be a terrific addition", he has called for Coquelin to be allowed to thrive.
Morgan Schneiderlin would be a "terrific addition" to Arsenal's squad, but only if it does not hinder the rapid progress of Francis Coquelin, says club great Frank McLintock.
"[Coquelin has been] very good," he said. "They've been linked with Schneiderlin at Southampton. He's got height, something Arsenal have been lacking because they've been a small team for a long time.
"So someone of that calibre would be a good thing.
"But it would be a shame if he were to replace Coquelin, he's come on a bundle in the last month or so. That's because he has the opportunity to play regularly and he's taken on the task very well."