Mourinho is confident there will no wrangling like there was between his predecessor, Rafa Benitez, and Cole and Lampard last season.
He said: "We are calm . We know that they want to do well this season, and we know that they want to stay in the club. They know the respect we have for them.
"They know the contribution they are giving this season, which is different from last season, where many doubts were around Frank and John because they were not playing. Those doubts aren't around this season."
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