Despite being cleared by a security delegation from cricket world governing body the ICC, Zimbabwe remains a sore point to the UK government who have been fierce critics of the Mugabe regime.
Zimbabwe intends to host a number of games of this year's World Cup alongside the main host, South Africa.
England and Wales Cricket Board (ECB) officials say they will have an "open mind" when they meet government ministers. England are due to play their opening match in Harare.
A decision not to play the match will inevitably open up a new can of worms with a seven figure fine and the forfeiting of match points just the tip of the iceberg should they decide to snub the game.
Speaking on BBC Radio Five Live ECB chairman David Morgan said: "We will be very interested to hear the views of the government and I am hopeful that they will listen to our concerns too.
"We will have to question the fact that there has been no break in diplomatic relations between the UK and Zimbabwe.
"There are no trade sanctions and we will have to ask the question 'Why should cricket in England and Wales be the only business required to stop trading with Zimbabwe?'"
