Add supprot of processing trailer-only response in cronet_transport.c
diff --git a/src/core/ext/transport/cronet/transport/cronet_transport.c b/src/core/ext/transport/cronet/transport/cronet_transport.c
index fa2bdb8..791f041 100644
--- a/src/core/ext/transport/cronet/transport/cronet_transport.c
+++ b/src/core/ext/transport/cronet/transport/cronet_transport.c
@@ -484,6 +484,16 @@
   CRONET_LOG(GPR_DEBUG, "R: on_response_headers_received(%p, %p, %s)", stream,
              headers, negotiated_protocol);
   stream_obj *s = (stream_obj *)stream->annotation;
+
+  /* Identify if this is a header or a trailer (in a trailer-only response case)
+   */
+  for (size_t i = 0; i < headers->count; i++) {
+    if (0 == strcmp("grpc-status", headers->headers[i].key)) {
+      on_response_trailers_received(stream, headers);
+      return;
+    }
+  }
+
   gpr_mu_lock(&s->mu);
   memset(&s->state.rs.initial_metadata, 0,
          sizeof(s->state.rs.initial_metadata));
@@ -795,7 +805,8 @@
     else if (!stream_state->state_callback_received[OP_SEND_INITIAL_METADATA])
       result = false;
     /* we haven't received headers yet. */
-    else if (!stream_state->state_callback_received[OP_RECV_INITIAL_METADATA])
+    else if (!stream_state->state_callback_received[OP_RECV_INITIAL_METADATA] &&
+             !stream_state->state_op_done[OP_RECV_TRAILING_METADATA])
       result = false;
   } else if (op_id == OP_SEND_MESSAGE) {
     /* already executed (note we're checking op specific state, not stream
@@ -808,7 +819,8 @@
     /* already executed */
     if (op_state->state_op_done[OP_RECV_MESSAGE]) result = false;
     /* we haven't received headers yet. */
-    else if (!stream_state->state_callback_received[OP_RECV_INITIAL_METADATA])
+    else if (!stream_state->state_callback_received[OP_RECV_INITIAL_METADATA] &&
+             !stream_state->state_op_done[OP_RECV_TRAILING_METADATA])
       result = false;
   } else if (op_id == OP_RECV_TRAILING_METADATA) {
     /* already executed */
@@ -1023,6 +1035,9 @@
     } else if (stream_state->state_callback_received[OP_FAILED]) {
       grpc_closure_sched(exec_ctx, stream_op->recv_initial_metadata_ready,
                          GRPC_ERROR_NONE);
+    } else if (stream_state->state_op_done[OP_RECV_TRAILING_METADATA]) {
+      grpc_closure_sched(exec_ctx, stream_op->recv_initial_metadata_ready,
+                         GRPC_ERROR_NONE);
     } else {
       grpc_chttp2_incoming_metadata_buffer_publish(
           exec_ctx, &oas->s->state.rs.initial_metadata,
diff --git a/src/objective-c/tests/CoreCronetEnd2EndTests/CoreCronetEnd2EndTests.m b/src/objective-c/tests/CoreCronetEnd2EndTests/CoreCronetEnd2EndTests.m
index 1e0c802..3b44264 100644
--- a/src/objective-c/tests/CoreCronetEnd2EndTests/CoreCronetEnd2EndTests.m
+++ b/src/objective-c/tests/CoreCronetEnd2EndTests/CoreCronetEnd2EndTests.m
@@ -273,8 +273,7 @@
 }
 
 - (void)testCompressedPayload {
-  // NOT SUPPORTED
-  // [self testIndividualCase:"compressed_payload"];
+  [self testIndividualCase:"compressed_payload"];
 }
 
 - (void)testConnectivity {