The 32-year-old’s current contract is set to expire in the summer.
Coyle said: “We’ve put an offer to Ricardo and we’ll see what happens.
“He had a difficult season with injury but he came back and showed he wanted to be part of what we’re doing.
“It’s up to him. If he wants to sign, brilliant. If not, we’ll move on.”
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.