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The striker, who made the switch from Wealdstone, was part of the previous Harambee Stars side during the last international break, making his Kenyan debut earlier in the year.
Obiero has four senior caps for Kenya, having also featured during the previous international window when Kenya faced Eritrea and Guinea.
The forward previously described representing Kenya as an “honour” and said he had enjoyed working under national team boss Benni McCarthy, the former Blackburn Rovers and Porto striker.
The striker will miss Carlisle United's fixture against Boston United, on November 14.
Kenya will play two fixtures in this international break, two African Cup of Nations qualifiers against South Africa, on November 13 and November 17.
Micah Obiero's brother Zech Obiero, is also a Kenyan international, but has not been called up for this international beak.