Henrietta Rushwaya, the ZIFA chief executive officer said the association had failed to fund for a flight to Swaziland.
The Warriors flew to Johannesburg on Friday night and were scheduled to then travel by road to Swaziland.
This is the first time the Warriors have traveled for a national assignment by road. The effects of the long trip by road are likely to have an effect on their performance on Sunday.
The Warriors play Swaziland in the first round of the African Nations Championships.
The Warriors risked being booted out of the 2012 Nations Cup if they failed to fulfill the fixture against Swaziland.
Zimbabwe is the defending champions of the COSAFA Senior Challenge, which the country hosted last year.
The Warriors traveled with one injury worry ahead of the Swaziland game. Dynamos striker Cuthbert will undergo a late fitness test.