Khadka will be part of the squad for the Emirates T20 tournament which takes place in Dubai on Friday March 20 and also features Lancashire, Yorkshire and Sussex.
The 27-year-old has captained his country since 2009, leading them through a number of ICC World Cricket League Divisions and eventually to last year's World Twenty20 in Bangladesh. In June 2014, Nepal were granted T20 International status by the ICC.
The club can also confirm that Nepal U-19 Internationals Raju Rijal and Dipendra Singh Airee have been handed places on the MCC Young Cricketers programme for the summer of 2015.
The duo will follow in the footsteps of full Nepal internationals Rajesh Pulami Magar and Naresh Budhayer, who were part of the MCC Young Cricketers programme in 2013. In November 2015, MCC will also send a touring team to Nepal.
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They will play a series of fixtures against both national and local sides as well as providing expert coaching for young cricketers, who would not usually have access to it.
John Stephenson, MCC Head of Cricket, said: "MCC keeps a close eye on cricket developments in countries where the sport is growing in popularity, and Nepal certainly fits into that category. This played a big part in our decision both to select some Nepal players for MCC sides, and to send a touring team out there in November.
Paras Khadka said: "It's a great privilege to be selected to play for MCC. This is a fantastic platform to showcase Nepal cricket and I'm really looking forward to it. Hopefully I can make the best of this opportunity to promote cricket in Nepal."