diff --git a/pkg/sql/executor.go b/pkg/sql/executor.go
index 6acb9ee3322f..1415d9ffefb8 100644
--- a/pkg/sql/executor.go
+++ b/pkg/sql/executor.go
@@ -2015,6 +2015,8 @@ func canStayInFirstBatchState(stmt Statement) bool {
 	return isBegin(stmt) ||
 		isSavepoint(stmt) ||
 		isSetTransaction(stmt) ||
+		// Parallelized statements don't return results to clients, by definition.
+		IsStmtParallelized(stmt) ||
 		// ROLLBACK TO SAVEPOINT does its own state transitions; if it leave the
 		// transaction in the FirstBatch state, don't mess with it.
 		isRollbackToSavepoint(stmt)
diff --git a/pkg/sql/logictest/testdata/logic_test/txn b/pkg/sql/logictest/testdata/logic_test/txn
index 80158eea6fc6..a06a089f3bc3 100644
--- a/pkg/sql/logictest/testdata/logic_test/txn
+++ b/pkg/sql/logictest/testdata/logic_test/txn
@@ -624,6 +624,18 @@ statement ok
 ROLLBACK
 
 
+# Parallelized statements doesn't prevent automatic retries of the first batch.
+# Restore when #16827 is fixed.
+# statement ok
+# BEGIN TRANSACTION; INSERT INTO kv (k,v) VALUES ('x', 'b') RETURNING NOTHING;
+#
+# statement ok
+# SELECT 1; SELECT CRDB_INTERNAL.FORCE_RETRY('100ms':::INTERVAL)
+#
+# statement ok
+# ROLLBACK
+
+
 # General savepoints
 statement ok
 BEGIN TRANSACTION