City have added former Gunners fullback Gael Clichy and Sergio Aguero from Atletico Madrid to their recent list of big-name signings this summer, but Coyle has insisted that his side still stand a good chance against them at the Reebok Stadium on Sunday.
"It might look a mis-match, but I can assure you it won't be," the Trotters boss told BBC Sport. "I don't know what they have spent. What is it, £300m? In my 18 months in charge I've spent £3m in transfers.
"We are at the Reebok and we have to make sure we give a big performance. Is this a game we can win, absolutely?
"If we give our maximum then I believe we can go and win."
Coyle has brought in four players this summer, including Swansea's Darren Pratley and Nigel Reo-Coker on free transfers.