The decision comes after the country witnessed a sudden surge in coronavirus cases which necessitated more stringent government regulations in order to curb the spread of the deadly disease.
India were scheduled to play three one-dayers against Zimbabwe starting August 22.
Featuring three T20Is and as many ODIs, the tour was supposed to start from April 2 but will now have a new date.
The second century of Williams' test career — 107 — and half-centuries from Sikandar Raza and Brendan Taylor gave Zimbabwe a fighting chance of leveling the two-test series after Sri Lanka won the first by 10 wickets.
Angelo Mathews scored his maiden Test double century to help Sri Lanaka take a handy lead against Zimbabwe on Day 4 of the first Test.
Kusal Mendis added 80 as Sri Lanka reached stumps just 63 runs in arrears on the first innings, and set to make Zimbabwe chase.
The hosts won the toss and batted first with Masvaure (55) and Kasuza (63) digging deep and providing a solid platform.
Zimbabwe will host Sri Lanka for a two-match Test series, which begins on January 19.
Sean Williams has been named the new captain for Zimbabwe in Tests, while Chamu Chibhabha will lead the side in ODIs and T20Is.
Zimbabwe and Nepal were suspended in July this year following government interference in the running of the Board.
In a match which was reduced to 18 overs a side due to rain, hosts Singapore put up a strong total of 181/9 which they defended successfully to register their first-ever win over Zimbabwe.
The ban has come at a high price for Zimbabwe's team, which has lost its place at the Twenty20 World Cup qualifying competition.
The International Cricket Council (ICC) suspended Zimbabwe Cricket for violation of the global body's constitution, which doesn't allow any government intervention.
Zaman smashed 16 fours in scoring an unbeaten 117 off 129 balls and sprinted Pakistan to 195-1 in 36 overs against an inexperienced Zimbabwe bowling.
The Zimbabwe top-order batsmen struggled against Pakistan pace before Shadab ran through the tail as Zimbabwe was bowled out for 107 with 15 overs to spare.
Pakistan had five balls to spare when they beat Zimbabwe by seven wickets on Wednesday and eliminated the African host from the T20I tri-series.
Finch and D Arcy Short were also involved in a 223 run-stand for the opening wicket, which is now the highest partnership in T20I cricket.
Zimbabwe, going into the series without five top players, was bowled out for 108 in 17.5 overs after Pakistan had made a strong 182-4.
Rajput replaced former Zimbabwe pacer Heath Streak, who was sacked in March after the team failed to qualify for the next year's World Cup.
Harare, Zimbabwe: Pakistan regained control of the second test against Zimbabwe in the final session of the first day on Tuesday, breaking a 110-run stand between Hamilton Masakadza and captain Brendan Taylor and then reducing
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