The striker,has a year left on his contract, but is unlikely to feature in Chris Coleman's plans if the Sky Blues land Clinton Morrison, has been attracting interest elsehwere.
Plymouth Argyle,Burnley and Crystal Palace are three known clubs who are aware of Kyle with a fourth unknown club also said to be interested.
Palace boss Neil Warnock told the Croydon Advertiser:"People are trying to push players about at the minute and I got a phone call from an agent about Kyle and whether I was interested - but nothing has happened as of yet."
None of the sides have so far made a formal bid for the Scot who joined City in August 2006 and has made 27 starts for the Sky Blues.