The two countries play the first leg of the tie at Pretoria's Caledonianstadium on Friday where Nigeria's Super Falcons are expected to continue their winning record against Banyana Banyana.
Meanwhile, Butcher was hopeful that top scorer Adam Rooney, the subject of a failed bid from Russian club Kuban Krasnodar, would remain at CaledonianStadium beyond the end of January.
Butcher was particularly upset that the hosts had gone to a lot of trouble to make the Tulloch CaledonianStadium playable, only to lose their recent run of good form at home.
Inverness Caledonian Thistle Supporters' Trust has voiced concern about the direction of the board - and the management team - with some fans displaying a banner outside CaledonianStadium on Saturday asking for Brewster to be sacked.
Highland Council officers said early kick-offs at County's local rivals Inverness Caledonian Thistle were less of a concern because that club has an out-of-town stadium.