diff --git a/cpp/src/parquet/arrow/arrow_schema_test.cc b/cpp/src/parquet/arrow/arrow_schema_test.cc
index 880eba7a1bc..99ce0c962f7 100644
--- a/cpp/src/parquet/arrow/arrow_schema_test.cc
+++ b/cpp/src/parquet/arrow/arrow_schema_test.cc
@@ -1338,7 +1338,7 @@ TEST(TestFromParquetSchema, CorruptMetadata) {
 ::arrow::Result<std::deque<LevelInfo>> RootToTreeLeafLevels(
     const SchemaManifest& manifest, int column_number) {
   std::deque<LevelInfo> out;
-  const SchemaField* field;
+  const SchemaField* field = nullptr;
   RETURN_NOT_OK(manifest.GetColumnField(column_number, &field));
   while (field != nullptr) {
     out.push_front(field->level_info);
diff --git a/cpp/src/parquet/arrow/arrow_statistics_test.cc b/cpp/src/parquet/arrow/arrow_statistics_test.cc
index 47c715d469d..6684300c0f3 100644
--- a/cpp/src/parquet/arrow/arrow_statistics_test.cc
+++ b/cpp/src/parquet/arrow/arrow_statistics_test.cc
@@ -48,6 +48,16 @@ struct StatisticsTestParam {
   std::string expected_max;
 };
 
+// Define a custom print since the default Googletest print trips Valgrind
+void PrintTo(const StatisticsTestParam& param, std::ostream* os) {
+  (*os) << "StatisticsTestParam{"
+        << "table.schema=" << param.table->schema()->ToString()
+        << ", expected_null_count=" << param.expected_null_count
+        << ", expected_value_count=" << param.expected_value_count
+        << ", expected_min=" << param.expected_min
+        << ", expected_max=" << param.expected_max << "}";
+}
+
 class ParameterizedStatisticsTest : public ::testing::TestWithParam<StatisticsTestParam> {
 };