Shipping zone problem (plugin don't save)

Have you run the database update? There should be a message at the top of your admin screen asking you to run the WooCommerce database update. Just click the button to update and it will be done for you.

check userDB permissions
you mast have permission to create tables when
desactivate / reactivate WooCommerce

As iflyru has mention it, the problem was coming from database username permissions. This user before was able only to make things in existing tables but not able to create new ones. Ensure that the username of your WP database has all rights…

If you can’t get rid of this, try to create manually this with an SQL request in phpMyAdmin:

CREATE TABLE wp_woocommerce_shipping_zones (
  zone_id bigint(20) NOT NULL,
  zone_name varchar(255) NOT NULL,
  zone_order bigint(20) NOT NULL
) ENGINE=MyISAM DEFAULT CHARSET=utf8;

CREATE TABLE wp_woocommerce_shipping_zone_locations (
  location_id bigint(20) NOT NULL,
  zone_id bigint(20) NOT NULL,
  location_code varchar(255) NOT NULL,
  location_type varchar(40) NOT NULL
) ENGINE=MyISAM DEFAULT CHARSET=utf8;

CREATE TABLE wp_woocommerce_shipping_zone_methods (
  zone_id bigint(20) NOT NULL,
  instance_id bigint(20) NOT NULL,
  method_id varchar(255) NOT NULL,
  method_order bigint(20) NOT NULL,
  is_enabled tinyint(1) NOT NULL DEFAULT '1'
) ENGINE=MyISAM DEFAULT CHARSET=utf8;

CREATE TABLE wp_woocommerce_tax_rates (
  tax_rate_id bigint(20) NOT NULL,
  tax_rate_country varchar(200) COLLATE utf8mb4_unicode_ci NOT NULL DEFAULT '',
  tax_rate_state varchar(200) COLLATE utf8mb4_unicode_ci NOT NULL DEFAULT '',
  tax_rate varchar(200) COLLATE utf8mb4_unicode_ci NOT NULL DEFAULT '',
  tax_rate_name varchar(200) COLLATE utf8mb4_unicode_ci NOT NULL DEFAULT '',
  tax_rate_priority bigint(20) NOT NULL,
  tax_rate_compound int(1) NOT NULL DEFAULT '0',
  tax_rate_shipping int(1) NOT NULL DEFAULT '1',
  tax_rate_order bigint(20) NOT NULL,
  tax_rate_class varchar(200) COLLATE utf8mb4_unicode_ci NOT NULL DEFAULT ''
) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_unicode_ci;

CREATE TABLE wp_woocommerce_tax_rate_locations (
  location_id bigint(20) NOT NULL,
  location_code varchar(255) COLLATE utf8mb4_unicode_ci NOT NULL,
  tax_rate_id bigint(20) NOT NULL,
  location_type varchar(40) COLLATE utf8mb4_unicode_ci NOT NULL
) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_unicode_ci;

ALTER TABLE wp_woocommerce_shipping_zones
  ADD PRIMARY KEY (zone_id);

ALTER TABLE wp_woocommerce_shipping_zone_locations
  ADD PRIMARY KEY (location_id),
  ADD KEY location_id (location_id),
  ADD KEY location_type (location_type),
  ADD KEY location_type_code (location_type,location_code(90));

ALTER TABLE wp_woocommerce_shipping_zone_methods
  ADD PRIMARY KEY (instance_id);

ALTER TABLE wp_woocommerce_tax_rates
  ADD PRIMARY KEY (tax_rate_id),
  ADD KEY tax_rate_country (tax_rate_country(191)),
  ADD KEY tax_rate_state (tax_rate_state(191)),
  ADD KEY tax_rate_class (tax_rate_class(191)),
  ADD KEY tax_rate_priority (tax_rate_priority);

ALTER TABLE wp_woocommerce_tax_rate_locations
  ADD PRIMARY KEY (location_id),
  ADD KEY tax_rate_id (tax_rate_id),
  ADD KEY location_type (location_type),
  ADD KEY location_type_code (location_type,location_code(90));

ALTER TABLE wp_woocommerce_shipping_zones
  MODIFY zone_id bigint(20) NOT NULL AUTO_INCREMENT;
ALTER TABLE wp_woocommerce_shipping_zone_locations
  MODIFY location_id bigint(20) NOT NULL AUTO_INCREMENT;
ALTER TABLE wp_woocommerce_shipping_zone_methods
  MODIFY instance_id bigint(20) NOT NULL AUTO_INCREMENT;
ALTER TABLE wp_woocommerce_tax_rates
  MODIFY tax_rate_id bigint(20) NOT NULL AUTO_INCREMENT;
ALTER TABLE wp_woocommerce_tax_rate_locations
  MODIFY location_id bigint(20) NOT NULL AUTO_INCREMENT;

Or with this sql file that you can download