We have a sample scheduler class and Test class. Please try like the below,
Scheduler Class:
global class ScheduleTerritoryInactiveMemberCheck implements Schedulable { 
    global void execute(SchedulableContext SC) { 
    TerritoryInactiveMemberCheck bcc = new TerritoryInactiveMemberCheck(); 
    bcc.query = 'select id,name from territory'; 
    Database.executeBatch(bcc,200); 
    }
 
}
Test class:
public static testMethod void testschedule() {
Test.StartTest();
ScheduleTerritoryInactiveMemberCheck sh1 = new ScheduleTerritoryInactiveMemberCheck();
String sch = '0 0 23 * * ?';
system.schedule('Test Territory Check', sch, sh1);
Test.stopTest();
}
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----------------------Hope this will help you!-------------------------
