London Olympics bronze medallist Saina, who is currently playing at the Indonesia Masters after recovering from an ankle injury, has written a letter to BAI to allow her to withdraw from the Asian event scheduled from February 6 to 11 at Alor Setar, Malaysia.
However, BAI is trying to convince Saina to modify her training program and accommodate the tournament in her schedule.
"So I am writing to Saina, requesting her to consider revising her training program so that she is able to play since it is a matter of national pride.
"I understand she has come out of an injury and she is preparing for All England but my only request to the players is that they can schedule their training program in such a way that they can play in these important events," he added.
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To ensure that India qualifies for the prestigious tournament, BAI decided to field a formidable line-up for this year's edition.
BAI named Saina, P V Sindhu alongwith youngsters Krishna Priya and Ruthvika Gaade in the women's team for the Asian Championships, which will be decided on three singles and two doubles.
Indian women's team has reached the semifinals in the 2014 and 2016 editions of the Uber Cup.
The USD 1,000,000 All England Championship, a BWF World Tour Super 1000 event, will be held at Birmingham from March 14 to 18.