England Test captain Ben Stokes has describing the willingness to give opponents experience of playing in English conditions ahead of a big series as "odd".
But Richard Gould, the England and Wales Cricket Board chief executive, said: ""It would be against the law to discriminate against any nationality in terms of playing cricket so, no, there are no policies in place."
Rob Andrew, the ECB managing director, added: "The game constantly debates the number of overseas players, the number in the Blast, the number in the County Championship.
"It goes to the bigger value of the county game as well, in terms of helping grow the game. Rob Key (the England team's managing director) might want all the Australians banned from playing, but I don't. It's not something that was discussed during the domestic review.
"The only thing that is discussed periodically is do we have the right number of overseas players playing in our competitions?"
Gould also responded to criticism from active players to Key and head coach Brendon McCullum's England regime as a reaction to being dropped.
Jonny Bairstow, Reece Topley and Liam Livingstone have spoken out at their experiences with the national set-up.
Livingstone described his time at last year's Champions Trophy as "the worst experience I've had playing cricket", with Topley stating that the Lancashire all-rounder's comments were "a bit kind".
Bairstow, meanwhile, said last week that "you need the care back in the game", adding that "as soon as you are out of the system, you are out of the system".
Topley and Bairstow last played for England in 2024, while Livingstone's most recent appearance came a year ago.
Gould said: "When players come out of the England fold, it's difficult for them. It's difficult for any player when they get dropped in any sport and they will not agree with the decision. I wouldn't want them to agree with the decision."
An ECB review into the 4-1 Ashes drubbing ended with Key, McCullum and Stokes retaining their positions despite criticism of the team's preparation, selection and behaviour.
McCullum is current in his native New Zealand and will rejoin England ahead of their first Test of the summer against the Black Caps on June 4, although Gould was unable to specify his return date.
"I don't know his flight bookings yet. I don't know when he's coming over," he said.
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