"We will look forward to that when it comes," added Keane. "Arsenal are a top team and will be delighted with the draw."
Ipswich had lost their previous four Championship fixtures, including a 4-1 defeat at local rivals Norwich on Sunday.
The slump in form had seen Town slip down the Championship table but under-pressure boss Keane was delighted with the response of his players, who saw off the Premier League Baggies to reach the last four.
"The performance was pretty good," said the Irishman. "That does not always guarantee the right result but we should have won by three or four goals.
"I am pleased for the players and the supporters because it has been a frustrating time. All the players did very well and responded well after Sunday.
"The game should have been over by the time we scored but their keeper made some great saves."
Newton offers no excuses for West Brom loss
West Brom keeper Boaz Myhill made several good saves and WBA assistant boss Eddie Newton had no complaints with the result.
"We are not happy but to be fair we did not turn up or deserve up - we did not play well," said Newton.
"We said to the whole squad that we trust them, James Hurst was fantastic for us on his debut but he is the only one who can hold his head up high.
"The seniors in the team should have done a lot more and we paid the price. We did not get our flow or our passing game going. Man for man Ipswich wanted it more."
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