31-year old midfielder Green was released by Leeds United in May after a spending time on loan with the Tractor Boys last season while 31-year old defender Richardson departed Middlesbrough following his short stint at Portman Road.
Rumours suggested that Ipswich went for both players during the recent transfer window but McCarthy has stated that he was only interested in loan deals for the pair who reunited at Rotherham United in June.
"I would sign them both on loan, but I was not going to sign them (permanently)," McCarthy said in the Ipswich Star.
"They had a really good offer (from Rotherham), the location does suit and I was not going to get involved with that or even try (to sign them).
"It never really got that far with them both and they had a really good offer from Steve Evans."
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