Manager Michael Laudrup insists that speculation linking the duo with moves away from the Liberty Stadium this summer are simply rumours, maintaining that they have not been approached by any clubs.
Cowie, in Monaco to attend the Europa League draw, which saw the Swans grouped with Valencia, Kuban Krasnodar and St Gallen, says that the club will maintain their stance as they look to compete on both European and domestic fronts this season.
"The manager and the chairman deal with all the ins and outs at the club. Personally, I've not heard of any offers but that's down to the chairman," he told Goal.
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Laudrup – who arrived at the club at the start of last season following a stint with Real Mallorca – guided the club to a Capital One Cup triumph last season after defeating Bradford City in the final.
Although the club are now competing in Europe as a result of the trophy win, Cowie believes that the former Denmark international remains the biggest attraction for new players arriving to the club.
"He's critical," he enthused. "When we go into the transfer market in the summer, the first thing the players say is: 'Yes, I want to play for Michael Laudrup' and that's the biggest selling point our club has got.
"The fact that we're in the group stages of the Europa League now may well help us in the last three or four days of the transfer window as well when we're attempting to get the right guy in but Michael's experience in Europe, his experience in cup competitions, is of course key to our success."