Parnell was summoned to Mumbai to appear in Wednesday's long-standing court date relating to drugs charges from the 2012 edition of the Indian Premier League.
The all-rounder, who denies any wrongdoing, missed his side's narrow victory over Holland as a result but, having returned to Bangladesh, is in contention to face England.
Morne Morkel and Lonwabo Tsotsobe have both been expensive in the competition, leaving coach Russell Domingo to ponder Parnell's left-arm seamers as an alternative.
But he would not elaborate on Parnell's Indian trip, saying only: "That's not for me to explain. The team manager has dealt with that and it's not something I want to get involved in.
"But Wayne will be available and he comes into the equation for us because it is a concern that we have a few more options available at the death."
Domingo admitted the Proteas had yet to hit their stride yet, despite winning two out of their three matches to date.
Dale Steyn got them out of jail against New Zealand in a match they should have lost and on Thursday they squeaked past a Holland side who came in as rank underdogs.
"We haven't batted well and the thinking during our innings' hasn't been where it needs to be," said Domingo.
"There have been some poor decisions.
"But we're are a strange cricket nation. If we win two or three games easily people accuse us of peaking at the wrong time and if we win a couple of tight ones people say we're playing badly.
"We can take positives from how we have dealt with pressure in those tight games."
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