yes, the Tx will work with the receiver - as long as it works on the same system!! very cunningly everybody have developed their own 'brand' of 2.4GHz system, e.g. Spektrum have their DSM2 and Futaba have their FASST system, both work on 2.4GHz but in slightly different ways!
there are other manufacturers also who have 2.4GHz but close inpection is required to see if they are compatible!
essentially, don't go and buy any old 2.4GHz Tx expecting it to work with any 2.4GHz Rx!